Search a number
-
+
525065625 = 335572127
BaseRepresentation
bin11111010010111…
…101110110011001
31100121000002122000
4133102331312121
52033404100000
6124033551213
716003661400
oct3722756631
91317002560
10525065625
1124a427637
12127a15509
1384a20126
144da3c637
153116a000
hex1f4bdd99

525065625 has 144 divisors (see below), whose sum is σ = 1139927040. Its totient is φ = 238140000.

The previous prime is 525065617. The next prime is 525065633. The reversal of 525065625 is 526560525.

525065625 is a `hidden beast` number, since 5 + 25 + 0 + 6 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (525065617) and next prime (525065633).

It is not a de Polignac number, because 525065625 - 23 = 525065617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 525065625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4134312 + ... + 4134438.

It is an arithmetic number, because the mean of its divisors is an integer number (7916160).

Almost surely, 2525065625 is an apocalyptic number.

It is an amenable number.

525065625 is an abundant number, since it is smaller than the sum of its proper divisors (614861415).

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

525065625 is an equidigital number, since it uses as much as digits as its factorization.

525065625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 525065625 is about 22914.3104849350. The cubic root of 525065625 is about 806.7479347086.

The spelling of 525065625 in words is "five hundred twenty-five million, sixty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 125 127 135 147 175 189 225 245 315 375 381 441 525 625 635 675 735 875 889 945 1125 1143 1225 1323 1575 1875 1905 2205 2625 2667 3125 3175 3375 3429 3675 4375 4445 4725 5625 5715 6125 6223 6615 7875 8001 9375 9525 11025 13125 13335 15875 16875 17145 18375 18669 21875 22225 23625 24003 28125 28575 30625 31115 33075 39375 40005 47625 55125 56007 65625 66675 79375 84375 85725 91875 93345 111125 118125 120015 142875 153125 155575 165375 168021 196875 200025 238125 275625 280035 333375 396875 428625 459375 466725 555625 590625 600075 714375 777875 826875 840105 1000125 1190625 1378125 1400175 1666875 2143125 2333625 2778125 3000375 3571875 3889375 4134375 4200525 5000625 7000875 8334375 10715625 11668125 15001875 19446875 21002625 25003125 35004375 58340625 75009375 105013125 175021875 525065625