725182670593 has 2 divisors, whose sum is σ = 725182670594. Its totient is φ = 725182670592.

The previous prime is 725182670549. The next prime is 725182670599. The reversal of 725182670593 is 395076281527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 610050037249 + 115132633344 = 781057^2 + 339312^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-725182670593 is a prime.

It is not a weakly prime, because it can be changed into another prime (725182670599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362591335296 + 362591335297.

It is an arithmetic number, because the mean of its divisors is an integer number (362591335297).

Almost surely, 2^725182670593 is an apocalyptic number.

It is an amenable number.

725182670593 is a deficient number, since it is larger than the sum of its proper divisors (1).

725182670593 is an equidigital number, since it uses as much as digits as its factorization.

725182670593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 725182670593 in words is "seven hundred twenty-five billion, one hundred eighty-two million, six hundred seventy thousand, five hundred ninety-three".