825538507 has 2 divisors, whose sum is σ = 825538508. Its totient is φ = 825538506.

The previous prime is 825538421. The next prime is 825538529. The reversal of 825538507 is 705835528.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 825538507 - 2²³ = 817149899 is a prime.

It is not a weakly prime, because it can be changed into another prime (825538607) 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, 412769253 + 412769254.

It is an arithmetic number, because the mean of its divisors is an integer number (412769254).

Almost surely, 2^825538507 is an apocalyptic number.

825538507 is a deficient number, since it is larger than the sum of its proper divisors (1).

825538507 is an equidigital number, since it uses as much as digits as its factorization.

825538507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336000, while the sum is 43.

The square root of 825538507 is about 28732.1859070973. The cubic root of 825538507 is about 938.0927478025.

The spelling of 825538507 in words is "eight hundred twenty-five million, five hundred thirty-eight thousand, five hundred seven".