825756137 has 2 divisors, whose sum is σ = 825756138. Its totient is φ = 825756136.

The previous prime is 825756119. The next prime is 825756157. The reversal of 825756137 is 731657528.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 571162201 + 254593936 = 23899^2 + 15956^2 .

It is a cyclic number.

It is not a de Polignac number, because 825756137 - 2⁶ = 825756073 is a prime.

It is not a weakly prime, because it can be changed into another prime (825756157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412878068 + 412878069.

It is an arithmetic number, because the mean of its divisors is an integer number (412878069).

Almost surely, 2^825756137 is an apocalyptic number.

It is an amenable number.

825756137 is a deficient number, since it is larger than the sum of its proper divisors (1).

825756137 is an equidigital number, since it uses as much as digits as its factorization.

825756137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 352800, while the sum is 44.

The square root of 825756137 is about 28735.9728737344. The cubic root of 825756137 is about 938.1751744794.

The spelling of 825756137 in words is "eight hundred twenty-five million, seven hundred fifty-six thousand, one hundred thirty-seven".