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2553525 = 34521397
BaseRepresentation
bin1001101111011010110101
311210201210000
421233122311
51123203100
6130421513
730463452
oct11573265
94721700
102553525
111494557
12a31899
136b5380
144a6829
15356900
hex26f6b5

2553525 has 60 divisors (see below), whose sum is σ = 5146372. Its totient is φ = 1244160.

The previous prime is 2553511. The next prime is 2553527. The reversal of 2553525 is 5253552.

It can be written as a sum of positive squares in 6 ways, for example, as 321489 + 2232036 = 567^2 + 1494^2 .

It is not a de Polignac number, because 2553525 - 212 = 2549429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 211 + 53 + 54 + 312 + 54 + 216 + 59 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553527) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26277 + ... + 26373.

22553525 is an apocalyptic number.

2553525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2553525 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2553525 is a wasteful number, since it uses less digits than its factorization.

2553525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its digits is 7500, while the sum is 27.

The square root of 2553525 is about 1597.9752814108. The cubic root of 2553525 is about 136.6826440439.

The spelling of 2553525 in words is "two million, five hundred fifty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 97 117 135 195 225 291 325 351 405 485 585 675 873 975 1053 1261 1455 1755 2025 2425 2619 2925 3783 4365 5265 6305 7275 7857 8775 11349 13095 18915 21825 26325 31525 34047 39285 56745 65475 94575 102141 170235 196425 283725 510705 851175 2553525