725735013 has 16 divisors (see below), whose sum is σ = 979645056. Its totient is φ = 477849600.

The previous prime is 725735011. The next prime is 725735041. The reversal of 725735013 is 310537527.

725735013 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 725735013 - 2¹ = 725735011 is a prime.

It is a super-2 number, since 2×725735013² = 1053382618188220338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725735011) 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, 120981 + ... + 126837.

It is an arithmetic number, because the mean of its divisors is an integer number (61227816).

Almost surely, 2^725735013 is an apocalyptic number.

It is an amenable number.

725735013 is a deficient number, since it is larger than the sum of its proper divisors (253910043).

725735013 is a wasteful number, since it uses less digits than its factorization.

725735013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364.

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 725735013 is about 26939.4694268466. The cubic root of 725735013 is about 898.6543730512.

The spelling of 725735013 in words is "seven hundred twenty-five million, seven hundred thirty-five thousand, thirteen".