631516900 has 81 divisors (see below), whose sum is σ = 1598581929. Its totient is φ = 215916960.

The previous prime is 631516811. The next prime is 631516913. The reversal of 631516900 is 9615136.

The square root of 631516900 is 25130.

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

It can be written as a sum of positive squares in only one way, i.e., 227346084 + 404170816 = 15078^2 + 20104^2 .

It is a super-2 number, since 2×631516900² = 797627189971220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1758921 + ... + 1759279.

Almost surely, 2^631516900 is an apocalyptic number.

631516900 is the 25130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631516900

631516900 is an abundant number, since it is smaller than the sum of its proper divisors (967065029).

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

631516900 is a wasteful number, since it uses less digits than its factorization.

631516900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The cubic root of 631516900 is about 857.9493688008.

The spelling of 631516900 in words is "six hundred thirty-one million, five hundred sixteen thousand, nine hundred".