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528770025 = 345272732
BaseRepresentation
bin11111100001000…
…110001111101001
31100211222022010000
4133201012033221
52040331120100
6124245213213
716050320400
oct3741061751
91324868100
10528770025
11251527823
12129101209
1385719294
1450324637
153164c900
hex1f8463e9

528770025 has 135 divisors (see below), whose sum is σ = 1155199221. Its totient is φ = 238412160.

The previous prime is 528770003. The next prime is 528770027. The reversal of 528770025 is 520077825.

The square root of 528770025 is 22995.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2893401 + 525876624 = 1701^2 + 22932^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 528770025 - 27 = 528769897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (528770027) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7243389 + ... + 7243461.

Almost surely, 2528770025 is an apocalyptic number.

528770025 is the 22995-th square number.

528770025 is the 11498-th centered octagonal number.

It is an amenable number.

528770025 is an abundant number, since it is smaller than the sum of its proper divisors (626429196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

528770025 is an equidigital number, since it uses as much as digits as its factorization.

528770025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The cubic root of 528770025 is about 808.6407243662.

Multiplying 528770025 by its sum of digits (36), we get a square (19035720900 = 1379702).

The spelling of 528770025 in words is "five hundred twenty-eight million, seven hundred seventy thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 73 75 81 105 135 147 175 189 219 225 245 315 365 405 441 511 525 567 657 675 735 945 1095 1225 1323 1533 1575 1825 1971 2025 2205 2555 2835 3285 3577 3675 3969 4599 4725 5329 5475 5913 6615 7665 9855 10731 11025 12775 13797 14175 15987 16425 17885 19845 22995 26645 29565 32193 33075 37303 38325 41391 47961 49275 53655 68985 79935 89425 96579 99225 111909 114975 133225 143883 147825 160965 186515 206955 239805 261121 268275 289737 335727 344925 399675 431649 482895 559545 719415 783363 804825 932575 1007181 1034775 1199025 1305605 1448685 1678635 2158245 2350089 2414475 2797725 3021543 3597075 3916815 5035905 6528025 7050267 7243425 8393175 10791225 11750445 15107715 19584075 21150801 25179525 35251335 58752225 75538575 105754005 176256675 528770025