663580631 has 16 divisors (see below), whose sum is σ = 776759808. Its totient is φ = 555141600.

The previous prime is 663580609. The next prime is 663580651. The reversal of 663580631 is 136085366.

It is a cyclic number.

It is not a de Polignac number, because 663580631 - 2²⁶ = 596471767 is a prime.

It is a super-2 number, since 2×663580631² = 880678507676716322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663580651) 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, 50006 + ... + 61868.

It is an arithmetic number, because the mean of its divisors is an integer number (48547488).

Almost surely, 2^663580631 is an apocalyptic number.

663580631 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

663580631 is a deficient number, since it is larger than the sum of its proper divisors (113179177).

663580631 is a wasteful number, since it uses less digits than its factorization.

663580631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12062.

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 663580631 is about 25760.0588314546. The cubic root of 663580631 is about 872.2304292236.

The spelling of 663580631 in words is "six hundred sixty-three million, five hundred eighty thousand, six hundred thirty-one".