631735013 has 24 divisors (see below), whose sum is σ = 784411200. Its totient is φ = 498161664.

The previous prime is 631735001. The next prime is 631735031. The reversal of 631735013 is 310537136.

It is a happy number.

631735013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 631735013 - 2⁸ = 631734757 is a prime.

It is a super-2 number, since 2×631735013² = 798178253300220338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631735063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447653 + ... + 449061.

It is an arithmetic number, because the mean of its divisors is an integer number (32683800).

Almost surely, 2^631735013 is an apocalyptic number.

It is an amenable number.

631735013 is a deficient number, since it is larger than the sum of its proper divisors (152676187).

631735013 is a wasteful number, since it uses less digits than its factorization.

631735013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 631735013 is about 25134.3393189477. The cubic root of 631735013 is about 858.0481301436.

It can be divided in two parts, 63173 and 5013, that added together give a palindrome (68186).

The spelling of 631735013 in words is "six hundred thirty-one million, seven hundred thirty-five thousand, thirteen".