725017313 has 4 divisors (see below), whose sum is σ = 750017940. Its totient is φ = 700016688.

The previous prime is 725017301. The next prime is 725017387. The reversal of 725017313 is 313710527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 313710527 = 13 ⋅24131579.

It can be written as a sum of positive squares in 2 ways, for example, as 187333969 + 537683344 = 13687^2 + 23188^2 .

It is a cyclic number.

It is not a de Polignac number, because 725017313 - 2²⁰ = 723968737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29), and also a Moran number because the ratio is a prime number: 25000597 = 725017313 / (7 + 2 + 5 + 0 + 1 + 7 + 3 + 1 + 3).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (725017213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12500270 + ... + 12500327.

It is an arithmetic number, because the mean of its divisors is an integer number (187504485).

Almost surely, 2^725017313 is an apocalyptic number.

It is an amenable number.

725017313 is a deficient number, since it is larger than the sum of its proper divisors (25000627).

725017313 is a wasteful number, since it uses less digits than its factorization.

725017313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25000626.

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 725017313 is about 26926.1455280922. The cubic root of 725017313 is about 898.3580403877.

The spelling of 725017313 in words is "seven hundred twenty-five million, seventeen thousand, three hundred thirteen".