971062430625 has 135 divisors (see below), whose sum is σ = 2039995576047. Its totient is φ = 443677752000.

The previous prime is 971062430587. The next prime is 971062430669. The reversal of 971062430625 is 526034260179.

The square root of 971062430625 is 985425.

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

971062430625 is a `hidden beast` number, since 9 + 7 + 10 + 6 + 2 + 4 + 3 + 0 + 625 = 666.

971062430625 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 635028890769 + 336033539856 = 796887^2 + 579684^2 .

It is not a de Polignac number, because 971062430625 - 2⁹ = 971062430113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 517347187 + ... + 517349063.

Almost surely, 2^971062430625 is an apocalyptic number.

971062430625 is the 985425-th square number.

971062430625 is the 492713-rd centered octagonal number.

It is an amenable number.

971062430625 is an abundant number, since it is smaller than the sum of its proper divisors (1068933145422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

971062430625 is an frugal number, since it uses more digits than its factorization.

971062430625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 971062430625 in words is "nine hundred seventy-one billion, sixty-two million, four hundred thirty thousand, six hundred twenty-five".