825183131 has 2 divisors, whose sum is σ = 825183132. Its totient is φ = 825183130.

The previous prime is 825183127. The next prime is 825183133. The reversal of 825183131 is 131381528.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 825183131 - 2² = 825183127 is a prime.

It is a super-2 number, since 2×825183131² = 1361854399373926322, which contains 22 as substring.

Together with 825183133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (825183133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412591565 + 412591566.

It is an arithmetic number, because the mean of its divisors is an integer number (412591566).

Almost surely, 2^825183131 is an apocalyptic number.

825183131 is a deficient number, since it is larger than the sum of its proper divisors (1).

825183131 is an equidigital number, since it uses as much as digits as its factorization.

825183131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5760, while the sum is 32.

The square root of 825183131 is about 28726.0009573209. Note that the first 3 decimals coincide. The cubic root of 825183131 is about 937.9581191152.

The spelling of 825183131 in words is "eight hundred twenty-five million, one hundred eighty-three thousand, one hundred thirty-one".