2638765137625 has 8 divisors (see below), whose sum is σ = 3293178891912. Its totient is φ = 2111012110000.

The previous prime is 2638765137607. The next prime is 2638765137661. The reversal of 2638765137625 is 5267315678362.

2638765137625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 371460994576 + 2267304143049 = 609476^2 + 1505757^2 .

It is not a de Polignac number, because 2638765137625 - 2³¹ = 2636617653977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10555060426 + ... + 10555060675.

It is an arithmetic number, because the mean of its divisors is an integer number (411647361489).

Almost surely, 2^{2638765137625} is an apocalyptic number.

2638765137625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2638765137625 is a deficient number, since it is larger than the sum of its proper divisors (654413754287).

2638765137625 is an equidigital number, since it uses as much as digits as its factorization.

2638765137625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21110121116 (or 21110121106 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 61.

The spelling of 2638765137625 in words is "two trillion, six hundred thirty-eight billion, seven hundred sixty-five million, one hundred thirty-seven thousand, six hundred twenty-five".