2505400051 has 16 divisors (see below), whose sum is σ = 3259427328. Its totient is φ = 1867377600.

The previous prime is 2505400033. The next prime is 2505400081. The reversal of 2505400051 is 1500045052.

It is not a de Polignac number, because 2505400051 - 2⁹ = 2505399539 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2505399995 and 2505400031.

It is not an unprimeable number, because it can be changed into a prime (2505400081) 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, 705570 + ... + 709111.

It is an arithmetic number, because the mean of its divisors is an integer number (203714208).

Almost surely, 2^2505400051 is an apocalyptic number.

2505400051 is a deficient number, since it is larger than the sum of its proper divisors (754027277).

2505400051 is a wasteful number, since it uses less digits than its factorization.

2505400051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414722.

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 2505400051 is about 50053.9713809004. The cubic root of 2505400051 is about 1358.1853051212.

The spelling of 2505400051 in words is "two billion, five hundred five million, four hundred thousand, fifty-one".