513834779136 has 960 divisors, whose sum is σ = 1766235525120. Its totient is φ = 131821240320.

The previous prime is 513834779113. The next prime is 513834779137. The reversal of 513834779136 is 631977438315.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (513834779137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2970143146 + ... + 2970143318.

It is an arithmetic number, because the mean of its divisors is an integer number (1839828672).

Almost surely, 2^513834779136 is an apocalyptic number.

513834779136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513834779136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883117762560).

513834779136 is an abundant number, since it is smaller than the sum of its proper divisors (1252400745984).

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

513834779136 is a wasteful number, since it uses less digits than its factorization.

513834779136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 302 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 57.

The spelling of 513834779136 in words is "five hundred thirteen billion, eight hundred thirty-four million, seven hundred seventy-nine thousand, one hundred thirty-six".