631072512 has 144 divisors (see below), whose sum is σ = 2132954880. Its totient is φ = 180292608.

The previous prime is 631072471. The next prime is 631072513. The reversal of 631072512 is 215270136.

It is a happy number.

631072512 is a `hidden beast` number, since 631 + 0 + 7 + 25 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631072513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41863 + ... + 54905.

Almost surely, 2^631072512 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 631072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066477440).

631072512 is an abundant number, since it is smaller than the sum of its proper divisors (1501882368).

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

631072512 is a wasteful number, since it uses less digits than its factorization.

631072512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13075 (or 13055 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 631072512 is about 25121.1566612686. The cubic root of 631072512 is about 857.7480799842.

The spelling of 631072512 in words is "six hundred thirty-one million, seventy-two thousand, five hundred twelve".