725261592601 has 16 divisors (see below), whose sum is σ = 892744199424. Its totient is φ = 573759710784.

The previous prime is 725261592599. The next prime is 725261592613. The reversal of 725261592601 is 106295162527.

725261592601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 725261592601 - 2¹ = 725261592599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (725261592691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207180 + ... + 1222066.

It is an arithmetic number, because the mean of its divisors is an integer number (55796512464).

Almost surely, 2^725261592601 is an apocalyptic number.

It is an amenable number.

725261592601 is a deficient number, since it is larger than the sum of its proper divisors (167482606823).

725261592601 is a wasteful number, since it uses less digits than its factorization.

725261592601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022760.

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 725261592601 in words is "seven hundred twenty-five billion, two hundred sixty-one million, five hundred ninety-two thousand, six hundred one".