513511816680 has 192 divisors, whose sum is σ = 1772300088000. Its totient is φ = 128581060608.

The previous prime is 513511816669. The next prime is 513511816693. The reversal of 513511816680 is 86618115315.

It is a happy number.

513511816680 is a `hidden beast` number, since 51 + 3 + 511 + 8 + 1 + 6 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440731 + ... + 1105109.

It is an arithmetic number, because the mean of its divisors is an integer number (9230729625).

Almost surely, 2^513511816680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513511816680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886150044000).

513511816680 is an abundant number, since it is smaller than the sum of its proper divisors (1258788271320).

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

513511816680 is a wasteful number, since it uses less digits than its factorization.

513511816680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664528 (or 664521 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 513511816680 in words is "five hundred thirteen billion, five hundred eleven million, eight hundred sixteen thousand, six hundred eighty".