752232013 has 12 divisors (see below), whose sum is σ = 820041300. Its totient is φ = 689684736.

The previous prime is 752231959. The next prime is 752232017. The reversal of 752232013 is 310232257.

752232013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 71961289 + 680270724 = 8483^2 + 26082^2 .

It is a de Polignac number, because none of the positive numbers 2^k-752232013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752232017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10245 + ... + 40117.

It is an arithmetic number, because the mean of its divisors is an integer number (68336775).

Almost surely, 2^752232013 is an apocalyptic number.

It is an amenable number.

752232013 is a deficient number, since it is larger than the sum of its proper divisors (67809287).

752232013 is a wasteful number, since it uses less digits than its factorization.

752232013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30048 (or 30035 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 752232013 is about 27426.8483971455. The cubic root of 752232013 is about 909.4607008630.

The spelling of 752232013 in words is "seven hundred fifty-two million, two hundred thirty-two thousand, thirteen".