969125625 has 120 divisors (see below), whose sum is σ = 1953031080. Its totient is φ = 459648000.

The previous prime is 969125621. The next prime is 969125639. The reversal of 969125625 is 526521969.

It is a happy number.

969125625 is a `hidden beast` number, since 9 + 6 + 9 + 12 + 5 + 625 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 952771689 + 16353936 = 30867^2 + 4044^2 .

It is not a de Polignac number, because 969125625 - 2² = 969125621 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (969125621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2120397 + ... + 2120853.

It is an arithmetic number, because the mean of its divisors is an integer number (16275259).

Almost surely, 2^969125625 is an apocalyptic number.

It is an amenable number.

969125625 is an abundant number, since it is smaller than the sum of its proper divisors (983905455).

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

969125625 is a wasteful number, since it uses less digits than its factorization.

969125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 507 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 969125625 is about 31130.7825953669. The cubic root of 969125625 is about 989.6007726074.

The spelling of 969125625 in words is "nine hundred sixty-nine million, one hundred twenty-five thousand, six hundred twenty-five".