131098305625 has 45 divisors (see below), whose sum is σ = 190658787627. Its totient is φ = 89852532000.

The previous prime is 131098305587. The next prime is 131098305647. The reversal of 131098305625 is 526503890131.

The square root of 131098305625 is 362075.

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

It can be written as a sum of positive squares in 7 ways, for example, as 129118767561 + 1979538064 = 359331^2 + 44492^2 .

It is not a de Polignac number, because 131098305625 - 2¹⁵ = 131098272857 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 63362091 + ... + 63364159.

Almost surely, 2^131098305625 is an apocalyptic number.

131098305625 is the 362075-th square number.

131098305625 is the 181038-th centered octagonal number.

It is an amenable number.

131098305625 is a deficient number, since it is larger than the sum of its proper divisors (59560482002).

131098305625 is an frugal number, since it uses more digits than its factorization.

131098305625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 131098305625 in words is "one hundred thirty-one billion, ninety-eight million, three hundred five thousand, six hundred twenty-five".