715616001 has 27 divisors (see below), whose sum is σ = 1066785993. Its totient is φ = 462257280.

The previous prime is 715615991. The next prime is 715616021. The reversal of 715616001 is 100616517.

The square root of 715616001 is 26751.

It is a perfect power (a square), and thus also a powerful number.

715616001 is a `hidden beast` number, since 7 + 1 + 56 + 1 + 600 + 1 = 666.

715616001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 310640625 + 404975376 = 17625^2 + 20124^2 .

It is not a de Polignac number, because 715616001 - 2⁹ = 715615489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (715616021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2969241 + ... + 2969481.

Almost surely, 2^715616001 is an apocalyptic number.

715616001 is the 26751-st square number.

715616001 is the 13376-th centered octagonal number.

It is an amenable number.

715616001 is a deficient number, since it is larger than the sum of its proper divisors (351169992).

715616001 is an equidigital number, since it uses as much as digits as its factorization.

715616001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The cubic root of 715616001 is about 894.4581266800.

The spelling of 715616001 in words is "seven hundred fifteen million, six hundred sixteen thousand, one".