513676795086 has 384 divisors, whose sum is σ = 1495680076800. Its totient is φ = 123582412800.

The previous prime is 513676795043. The next prime is 513676795091. The reversal of 513676795086 is 680597676315.

513676795086 is a `hidden beast` number, since 5 + 1 + 3 + 67 + 67 + 9 + 508 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 542424865 + ... + 542425811.

It is an arithmetic number, because the mean of its divisors is an integer number (3895000200).

Almost surely, 2^513676795086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513676795086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747840038400).

513676795086 is an abundant number, since it is smaller than the sum of its proper divisors (982003281714).

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

513676795086 is a wasteful number, since it uses less digits than its factorization.

513676795086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 513676795086 in words is "five hundred thirteen billion, six hundred seventy-six million, seven hundred ninety-five thousand, eighty-six".