628133013 has 18 divisors (see below), whose sum is σ = 948473526. Its totient is φ = 400545552.

The previous prime is 628132991. The next prime is 628133021. The reversal of 628133013 is 310331826.

It is a happy number.

628133013 is a `hidden beast` number, since 628 + 1 + 3 + 30 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 543915684 + 84217329 = 23322^2 + 9177^2 .

It is not a de Polignac number, because 628133013 - 2⁹ = 628132501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628133063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61206 + ... + 70727.

Almost surely, 2^628133013 is an apocalyptic number.

It is an amenable number.

628133013 is a deficient number, since it is larger than the sum of its proper divisors (320340513).

628133013 is a wasteful number, since it uses less digits than its factorization.

628133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131985 (or 131959 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 628133013 is about 25062.5819300406. The cubic root of 628133013 is about 856.4142266346.

Adding to 628133013 its reverse (310331826), we get a palindrome (938464839).

The spelling of 628133013 in words is "six hundred twenty-eight million, one hundred thirty-three thousand, thirteen".