2506432131 has 96 divisors (see below), whose sum is σ = 4377784320. Its totient is φ = 1352332800.

The previous prime is 2506432129. The next prime is 2506432147. The reversal of 2506432131 is 1312346052.

2506432131 is a `hidden beast` number, since 2 + 5 + 0 + 643 + 2 + 13 + 1 = 666.

It is not a de Polignac number, because 2506432131 - 2¹ = 2506432129 is a prime.

It is a super-2 number, since 2×2506432131² = 12564404054618402322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2506432095 and 2506432104.

It is not an unprimeable number, because it can be changed into a prime (2506432171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14487961 + ... + 14488133.

It is an arithmetic number, because the mean of its divisors is an integer number (45601920).

Almost surely, 2^2506432131 is an apocalyptic number.

2506432131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2506432131 is a deficient number, since it is larger than the sum of its proper divisors (1871352189).

2506432131 is a wasteful number, since it uses less digits than its factorization.

2506432131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2506432131 is about 50064.2799908278. The cubic root of 2506432131 is about 1358.3717774642.

Adding to 2506432131 its reverse (1312346052), we get a palindrome (3818778183).

The spelling of 2506432131 in words is "two billion, five hundred six million, four hundred thirty-two thousand, one hundred thirty-one".