965825125 has 32 divisors (see below), whose sum is σ = 1229870304. Its totient is φ = 757120000.

The previous prime is 965825123. The next prime is 965825209. The reversal of 965825125 is 521528569.

It can be written as a sum of positive squares in 16 ways, for example, as 379119841 + 586705284 = 19471^2 + 24222^2 .

It is not a de Polignac number, because 965825125 - 2¹ = 965825123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965825123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1426287 + ... + 1426963.

It is an arithmetic number, because the mean of its divisors is an integer number (38433447).

Almost surely, 2^965825125 is an apocalyptic number.

It is an amenable number.

965825125 is a deficient number, since it is larger than the sum of its proper divisors (264045179).

965825125 is a wasteful number, since it uses less digits than its factorization.

965825125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 896 counting only the distinct ones).

The product of its digits is 216000, while the sum is 43.

The square root of 965825125 is about 31077.7271530593. The cubic root of 965825125 is about 988.4760844993.

The spelling of 965825125 in words is "nine hundred sixty-five million, eight hundred twenty-five thousand, one hundred twenty-five".