131626654253956 has 81 divisors (see below), whose sum is σ = 237721052387469. Its totient is φ = 63770778374400.

The previous prime is 131626654253893. The next prime is 131626654253959. The reversal of 131626654253956 is 659352456626131.

The square root of 131626654253956 is 11472866.

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

It can be written as a sum of positive squares in 13 ways, for example, as 39712557204100 + 91914097049856 = 6301790^2 + 9587184^2 .

It is a super-2 number, since 2×131626654253956² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131626654253959) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 170280276786 + ... + 170280277558.

Almost surely, 2^{131626654253956} is an apocalyptic number.

131626654253956 is the 11472866-th square number.

It is an amenable number.

131626654253956 is a deficient number, since it is larger than the sum of its proper divisors (106094398133513).

131626654253956 is an frugal number, since it uses more digits than its factorization.

131626654253956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 997 counting only the distinct ones).

The product of its digits is 209952000, while the sum is 64.

The spelling of 131626654253956 in words is "one hundred thirty-one trillion, six hundred twenty-six billion, six hundred fifty-four million, two hundred fifty-three thousand, nine hundred fifty-six".