952761449025 has 135 divisors (see below), whose sum is σ = 1790178970041. Its totient is φ = 500947571520.

The previous prime is 952761448937. The next prime is 952761449033. The reversal of 952761449025 is 520944167259.

It is a happy number.

The square root of 952761449025 is 976095.

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

952761449025 is a `hidden beast` number, since 9 + 52 + 76 + 14 + 490 + 25 = 666.

952761449025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3493164609 + 949268284416 = 59103^2 + 974304^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-952761449025 is a prime.

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, 4787745876 + ... + 4787746074.

Almost surely, 2^952761449025 is an apocalyptic number.

952761449025 is the 976095-th square number.

952761449025 is the 488048-th centered octagonal number.

It is an amenable number.

952761449025 is a deficient number, since it is larger than the sum of its proper divisors (837417521016).

952761449025 is an equidigital number, since it uses as much as digits as its factorization.

952761449025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 952761449025 in words is "nine hundred fifty-two billion, seven hundred sixty-one million, four hundred forty-nine thousand, twenty-five".