631257520 has 80 divisors (see below), whose sum is σ = 1571328000. Its totient is φ = 235125504.

The previous prime is 631257511. The next prime is 631257527. The reversal of 631257520 is 25752136.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (631257527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86161 + ... + 93199.

It is an arithmetic number, because the mean of its divisors is an integer number (19641600).

Almost surely, 2^631257520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631257520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785664000).

631257520 is an abundant number, since it is smaller than the sum of its proper divisors (940070480).

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

631257520 is a wasteful number, since it uses less digits than its factorization.

631257520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 631257520 is about 25124.8387059499. The cubic root of 631257520 is about 857.8318921974.

The spelling of 631257520 in words is "six hundred thirty-one million, two hundred fifty-seven thousand, five hundred twenty".