513360969030 has 576 divisors, whose sum is σ = 1774543680000. Its totient is φ = 102592998144.

The previous prime is 513360968999. The next prime is 513360969053. The reversal of 513360969030 is 30969063315.

513360969030 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 609 + 6 + 9 + 0 + 30 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 99120981 + ... + 99126159.

It is an arithmetic number, because the mean of its divisors is an integer number (3080805000).

Almost surely, 2^513360969030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513360969030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887271840000).

513360969030 is an abundant number, since it is smaller than the sum of its proper divisors (1261182710970).

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

513360969030 is a wasteful number, since it uses less digits than its factorization.

513360969030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 513360969030 in words is "five hundred thirteen billion, three hundred sixty million, nine hundred sixty-nine thousand, thirty".