752616976225 has 81 divisors (see below), whose sum is σ = 1003921453899. Its totient is φ = 559664179200.

The previous prime is 752616976217. The next prime is 752616976249. The reversal of 752616976225 is 522679616257.

The square root of 752616976225 is 867535.

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

It can be written as a sum of positive squares in 13 ways, for example, as 640027200289 + 112589775936 = 800017^2 + 335544^2 .

It is not a de Polignac number, because 752616976225 - 2³ = 752616976217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 752616976225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3899569729 + ... + 3899569921.

Almost surely, 2^752616976225 is an apocalyptic number.

752616976225 is the 867535-th square number.

752616976225 is the 433768-th centered octagonal number.

It is an amenable number.

752616976225 is a deficient number, since it is larger than the sum of its proper divisors (251304477674).

752616976225 is an equidigital number, since it uses as much as digits as its factorization.

752616976225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 258 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 58.

The spelling of 752616976225 in words is "seven hundred fifty-two billion, six hundred sixteen million, nine hundred seventy-six thousand, two hundred twenty-five".