725101567 has 2 divisors, whose sum is σ = 725101568. Its totient is φ = 725101566.

The previous prime is 725101499. The next prime is 725101583. The reversal of 725101567 is 765101527.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-725101567 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725101967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362550783 + 362550784.

It is an arithmetic number, because the mean of its divisors is an integer number (362550784).

Almost surely, 2^725101567 is an apocalyptic number.

725101567 is a deficient number, since it is larger than the sum of its proper divisors (1).

725101567 is an equidigital number, since it uses as much as digits as its factorization.

725101567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700, while the sum is 34.

The square root of 725101567 is about 26927.7100214630. The cubic root of 725101567 is about 898.3928383275.

The spelling of 725101567 in words is "seven hundred twenty-five million, one hundred one thousand, five hundred sixty-seven".