631513260 has 288 divisors, whose sum is σ = 2392266240. Its totient is φ = 136608768.

The previous prime is 631513249. The next prime is 631513261. The reversal of 631513260 is 62315136.

631513260 is a `hidden beast` number, since 631 + 5 + 1 + 3 + 26 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (631513261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 645892 + ... + 646868.

It is an arithmetic number, because the mean of its divisors is an integer number (8306480).

Almost surely, 2^631513260 is an apocalyptic number.

631513260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631513260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196133120).

631513260 is an abundant number, since it is smaller than the sum of its proper divisors (1760752980).

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

631513260 is a wasteful number, since it uses less digits than its factorization.

631513260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 631513260 is about 25129.9275764973. The cubic root of 631513260 is about 857.9477204196.

631513260 divided by its sum of digits (27) gives a triangular number (23389380 = T₆₈₃₉).

Adding to 631513260 its reverse (62315136), we get a palindrome (693828396).

The spelling of 631513260 in words is "six hundred thirty-one million, five hundred thirteen thousand, two hundred sixty".