957309610084 has 81 divisors (see below), whose sum is σ = 1777112824851. Its totient is φ = 451209089520.

The previous prime is 957309610031. The next prime is 957309610087. The reversal of 957309610084 is 480016903759.

It is a happy number.

The square root of 957309610084 is 978422.

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

It is a super-2 number, since 2×957309610084² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (957309610087) 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 26 ways as a sum of consecutive naturals, for example, 2608472869 + ... + 2608473235.

Almost surely, 2^957309610084 is an apocalyptic number.

957309610084 is the 978422-nd square number.

It is an amenable number.

957309610084 is a deficient number, since it is larger than the sum of its proper divisors (819803214767).

957309610084 is an equidigital number, since it uses as much as digits as its factorization.

957309610084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 957309610084 in words is "nine hundred fifty-seven billion, three hundred nine million, six hundred ten thousand, eighty-four".