725422314601 has 8 divisors (see below), whose sum is σ = 728459713800. Its totient is φ = 722387439360.

The previous prime is 725422314593. The next prime is 725422314653. The reversal of 725422314601 is 106413224527.

It can be written as a sum of positive squares in 4 ways, for example, as 154861138576 + 570561176025 = 393524^2 + 755355^2 .

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 725422314601 - 2³ = 725422314593 is a prime.

It is a super-3 number, since 3×725422314601³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725422315601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53856 + ... + 1205713.

It is an arithmetic number, because the mean of its divisors is an integer number (91057464225).

Almost surely, 2^725422314601 is an apocalyptic number.

It is an amenable number.

725422314601 is a deficient number, since it is larger than the sum of its proper divisors (3037399199).

725422314601 is a wasteful number, since it uses less digits than its factorization.

725422314601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261979.

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 725422314601 in words is "seven hundred twenty-five billion, four hundred twenty-two million, three hundred fourteen thousand, six hundred one".