725080414172641 has 8 divisors (see below), whose sum is σ = 737370371707200. Its totient is φ = 712790471937840.

The previous prime is 725080414172633. The next prime is 725080414172671. The reversal of 725080414172641 is 146271414080527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 725080414172641 - 2³ = 725080414172633 is a prime.

It is a super-2 number, since 2×725080414172641² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725080414172671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132731220 + ... + 138085978.

It is an arithmetic number, because the mean of its divisors is an integer number (92171296463400).

Almost surely, 2^{725080414172641} is an apocalyptic number.

It is an amenable number.

725080414172641 is a deficient number, since it is larger than the sum of its proper divisors (12289957534559).

725080414172641 is a wasteful number, since it uses less digits than its factorization.

725080414172641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649879.

The product of its (nonzero) digits is 3010560, while the sum is 52.

The spelling of 725080414172641 in words is "seven hundred twenty-five trillion, eighty billion, four hundred fourteen million, one hundred seventy-two thousand, six hundred forty-one".