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131153525 = 52137149257
BaseRepresentation
bin1111101000100…
…11111001110101
3100010210021210222
413310103321311
5232033403100
621003024125
73151533536
oct764237165
9303707728
10131153525
116803a648
1237b0b045
1321230849
14135c068d
15b7aa485
hex7d13e75

131153525 has 24 divisors (see below), whose sum is σ = 165558600. Its totient is φ = 103055360.

The previous prime is 131153513. The next prime is 131153527. The reversal of 131153525 is 525351131.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 17901361 + 113252164 = 4231^2 + 10642^2 .

It is not a de Polignac number, because 131153525 - 26 = 131153461 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131153494 and 131153503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131153527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510197 + ... + 510453.

It is an arithmetic number, because the mean of its divisors is an integer number (6898275).

Almost surely, 2131153525 is an apocalyptic number.

It is an amenable number.

131153525 is a deficient number, since it is larger than the sum of its proper divisors (34405075).

131153525 is a wasteful number, since it uses less digits than its factorization.

131153525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 548 counting only the distinct ones).

The product of its digits is 2250, while the sum is 26.

The square root of 131153525 is about 11452.2279491809. The cubic root of 131153525 is about 508.0736312661.

The spelling of 131153525 in words is "one hundred thirty-one million, one hundred fifty-three thousand, five hundred twenty-five".

Divisors: 1 5 25 137 149 257 685 745 1285 3425 3725 6425 20413 35209 38293 102065 176045 191465 510325 880225 957325 5246141 26230705 131153525