2582125131807 has 112 divisors (see below), whose sum is σ = 4190103569568. Its totient is φ = 1581064531200.

The previous prime is 2582125131787. The next prime is 2582125131809. The reversal of 2582125131807 is 7081315212852.

2582125131807 is a `hidden beast` number, since 2 + 5 + 82 + 1 + 251 + 318 + 0 + 7 = 666.

2582125131807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2582125131807 - 2¹⁶ = 2582125066271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582125131809) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2456826432 + ... + 2456827482.

It is an arithmetic number, because the mean of its divisors is an integer number (37411639014).

Almost surely, 2^{2582125131807} is an apocalyptic number.

2582125131807 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2582125131807 is a deficient number, since it is larger than the sum of its proper divisors (1607978437761).

2582125131807 is a wasteful number, since it uses less digits than its factorization.

2582125131807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 2582125131807 in words is "two trillion, five hundred eighty-two billion, one hundred twenty-five million, one hundred thirty-one thousand, eight hundred seven".