131264616525 has 96 divisors (see below), whose sum is σ = 253698048000. Its totient is φ = 59862398400.

The previous prime is 131264616521. The next prime is 131264616547. The reversal of 131264616525 is 525616462131.

It is not a de Polignac number, because 131264616525 - 2² = 131264616521 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131264616521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11081556 + ... + 11093394.

It is an arithmetic number, because the mean of its divisors is an integer number (2642688000).

Almost surely, 2^131264616525 is an apocalyptic number.

131264616525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131264616525 is a deficient number, since it is larger than the sum of its proper divisors (122433431475).

131264616525 is a wasteful number, since it uses less digits than its factorization.

131264616525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12304 (or 12285 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 131264616525 in words is "one hundred thirty-one billion, two hundred sixty-four million, six hundred sixteen thousand, five hundred twenty-five".