131824688825 has 12 divisors (see below), whose sum is σ = 169099256940. Its totient is φ = 101823207360.

The previous prime is 131824688819. The next prime is 131824688887. The reversal of 131824688825 is 528886428131.

It can be written as a sum of positive squares in 6 ways, for example, as 15447506944 + 116377181881 = 124288^2 + 341141^2 .

It is not a de Polignac number, because 131824688825 - 2¹⁸ = 131824426681 is a prime.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90912854 + ... + 90914303.

It is an arithmetic number, because the mean of its divisors is an integer number (14091604745).

Almost surely, 2^131824688825 is an apocalyptic number.

It is an amenable number.

131824688825 is a deficient number, since it is larger than the sum of its proper divisors (37274568115).

131824688825 is a wasteful number, since it uses less digits than its factorization.

131824688825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181827196 (or 181827191 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 56.

The spelling of 131824688825 in words is "one hundred thirty-one billion, eight hundred twenty-four million, six hundred eighty-eight thousand, eight hundred twenty-five".