725709431 has 2 divisors, whose sum is σ = 725709432. Its totient is φ = 725709430.

The previous prime is 725709407. The next prime is 725709433. The reversal of 725709431 is 134907527.

It is a strong prime.

It is an emirp because it is prime and its reverse (134907527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 725709431 - 2²² = 721515127 is a prime.

It is a super-2 number, since 2×725709431² = 1053308356484687522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 725709433, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725709433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362854715 + 362854716.

It is an arithmetic number, because the mean of its divisors is an integer number (362854716).

Almost surely, 2^725709431 is an apocalyptic number.

725709431 is a deficient number, since it is larger than the sum of its proper divisors (1).

725709431 is an equidigital number, since it uses as much as digits as its factorization.

725709431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 725709431 is about 26938.9946174686. The cubic root of 725709431 is about 898.6438138040.

The spelling of 725709431 in words is "seven hundred twenty-five million, seven hundred nine thousand, four hundred thirty-one".