131170730625 has 135 divisors (see below), whose sum is σ = 260834763189. Its totient is φ = 63453060000.

The previous prime is 131170730591. The next prime is 131170730641. The reversal of 131170730625 is 526037071131.

The square root of 131170730625 is 362175.

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

131170730625 is a `hidden beast` number, since 13 + 1 + 17 + 0 + 7 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10283785281 + 120886945344 = 101409^2 + 347688^2 .

It is not a de Polignac number, because 131170730625 - 2¹⁵ = 131170697857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131170730625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 298794156 + ... + 298794594.

Almost surely, 2^131170730625 is an apocalyptic number.

131170730625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131170730625 is the 362175-th square number.

131170730625 is the 181088-th centered octagonal number.

It is an amenable number.

131170730625 is a deficient number, since it is larger than the sum of its proper divisors (129664032564).

131170730625 is an frugal number, since it uses more digits than its factorization.

131170730625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

Multiplying 131170730625 by its sum of digits (36), we get a square (4722146302500 = 2173050²).

The spelling of 131170730625 in words is "one hundred thirty-one billion, one hundred seventy million, seven hundred thirty thousand, six hundred twenty-five".