963272373525 has 720 divisors, whose sum is σ = 2384476490880. Its totient is φ = 373378636800.

The previous prime is 963272373521. The next prime is 963272373577. The reversal of 963272373525 is 525373272369.

963272373525 is a `hidden beast` number, since 9 + 6 + 3 + 27 + 23 + 73 + 525 = 666.

It is not a de Polignac number, because 963272373525 - 2² = 963272373521 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963272373521) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 6135492747 + ... + 6135492903.

It is an arithmetic number, because the mean of its divisors is an integer number (3311772904).

Almost surely, 2^963272373525 is an apocalyptic number.

963272373525 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

963272373525 is an abundant number, since it is smaller than the sum of its proper divisors (1421204117355).

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

963272373525 is a wasteful number, since it uses less digits than its factorization.

963272373525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 311 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 54.

The spelling of 963272373525 in words is "nine hundred sixty-three billion, two hundred seventy-two million, three hundred seventy-three thousand, five hundred twenty-five".