513367999962480 has 640 divisors, whose sum is σ = 1920997581619200. Its totient is φ = 125260458172416.

The previous prime is 513367999962449. The next prime is 513367999962533. The reversal of 513367999962480 is 84269999763315.

513367999962480 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 6 + 79 + 9 + 9 + 9 + 62 + 480 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 513367999962480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4026130887 + ... + 4026258393.

It is an arithmetic number, because the mean of its divisors is an integer number (3001558721280).

It is a 1-persistent number, because it is pandigital, but 2⋅513367999962480 = 1026735999924960 is not.

Almost surely, 2^{513367999962480} 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 513367999962480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960498790809600).

513367999962480 is an abundant number, since it is smaller than the sum of its proper divisors (1407629581656720).

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

513367999962480 is a wasteful number, since it uses less digits than its factorization.

513367999962480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128798 (or 128786 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 81.

The spelling of 513367999962480 in words is "five hundred thirteen trillion, three hundred sixty-seven billion, nine hundred ninety-nine million, nine hundred sixty-two thousand, four hundred eighty".