2637505013 has 32 divisors (see below), whose sum is σ = 3244050432. Its totient is φ = 2110046400.

The previous prime is 2637504979. The next prime is 2637505019. The reversal of 2637505013 is 3105057362.

It is not a de Polignac number, because 2637505013 - 2¹⁰ = 2637503989 is a prime.

It is a Smith number, since the sum of its digits (32) 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 (2637505019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140128 + ... + 1142438.

It is an arithmetic number, because the mean of its divisors is an integer number (101376576).

Almost surely, 2^2637505013 is an apocalyptic number.

2637505013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2637505013 is a deficient number, since it is larger than the sum of its proper divisors (606545419).

2637505013 is a wasteful number, since it uses less digits than its factorization.

2637505013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705.

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 2637505013 is about 51356.6452662165. The cubic root of 2637505013 is about 1381.6491194762.

The spelling of 2637505013 in words is "two billion, six hundred thirty-seven million, five hundred five thousand, thirteen".