2506313631 has 16 divisors (see below), whose sum is σ = 3410739200. Its totient is φ = 1636715808.

The previous prime is 2506313581. The next prime is 2506313647. The reversal of 2506313631 is 1363136052.

It is a happy number.

It is not a de Polignac number, because 2506313631 - 2¹⁷ = 2506182559 is a prime.

It is a super-2 number, since 2×2506313631² = 12563216033872808322, 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 (2506317631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11536 + ... + 71733.

It is an arithmetic number, because the mean of its divisors is an integer number (213171200).

Almost surely, 2^2506313631 is an apocalyptic number.

2506313631 is a deficient number, since it is larger than the sum of its proper divisors (904425569).

2506313631 is a wasteful number, since it uses less digits than its factorization.

2506313631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83478.

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 2506313631 is about 50063.0964983190. The cubic root of 2506313631 is about 1358.3503699303.

Adding to 2506313631 its reverse (1363136052), we get a palindrome (3869449683).

The spelling of 2506313631 in words is "two billion, five hundred six million, three hundred thirteen thousand, six hundred thirty-one".