725013 has 6 divisors (see below), whose sum is σ = 1047254. Its totient is φ = 483336.

The previous prime is 725009. The next prime is 725041. The reversal of 725013 is 310527.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 88209 = 798^2 + 297^2 .

It is not a de Polignac number, because 725013 - 2² = 725009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40270 + ... + 40287.

2⁷²⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

725013 is a deficient number, since it is larger than the sum of its proper divisors (322241).

725013 is a wasteful number, since it uses less digits than its factorization.

725013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80563 (or 80560 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 725013 is about 851.4769521250. The cubic root of 725013 is about 89.8356258993.

The spelling of 725013 in words is "seven hundred twenty-five thousand, thirteen".