725686601 has 2 divisors, whose sum is σ = 725686602. Its totient is φ = 725686600.

The previous prime is 725686583. The next prime is 725686609. The reversal of 725686601 is 106686527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 722319376 + 3367225 = 26876^2 + 1835^2 .

It is a cyclic number.

It is not a de Polignac number, because 725686601 - 2⁶ = 725686537 is a prime.

It is not a weakly prime, because it can be changed into another prime (725686609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362843300 + 362843301.

It is an arithmetic number, because the mean of its divisors is an integer number (362843301).

Almost surely, 2^725686601 is an apocalyptic number.

It is an amenable number.

725686601 is a deficient number, since it is larger than the sum of its proper divisors (1).

725686601 is an equidigital number, since it uses as much as digits as its factorization.

725686601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 725686601 is about 26938.5708789460. The cubic root of 725686601 is about 898.6343902650.

The spelling of 725686601 in words is "seven hundred twenty-five million, six hundred eighty-six thousand, six hundred one".