513126936 has 48 divisors (see below), whose sum is σ = 1588251600. Its totient is φ = 146607552.

The previous prime is 513126877. The next prime is 513126947. The reversal of 513126936 is 639621315.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 513126936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508551 + ... + 509558.

It is an arithmetic number, because the mean of its divisors is an integer number (33088575).

Almost surely, 2^513126936 is an apocalyptic number.

513126936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

513126936 is an abundant number, since it is smaller than the sum of its proper divisors (1075124664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513126936 is a wasteful number, since it uses less digits than its factorization.

513126936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018128 (or 1018121 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 513126936 is about 22652.3053131464. The cubic root of 513126936 is about 800.5865157274.

It can be divided in two parts, 513 and 126936, that added together give a square (127449 = 357²).

The spelling of 513126936 in words is "five hundred thirteen million, one hundred twenty-six thousand, nine hundred thirty-six".