513942540720 has 480 divisors, whose sum is σ = 2010254210496. Its totient is φ = 107864064000.

The previous prime is 513942540697. The next prime is 513942540779. The reversal of 513942540720 is 27045249315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8165370 + ... + 8228070.

Almost surely, 2^513942540720 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 513942540720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005127105248).

513942540720 is an abundant number, since it is smaller than the sum of its proper divisors (1496311669776).

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

513942540720 is a wasteful number, since it uses less digits than its factorization.

513942540720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62789 (or 62776 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 513942540720 in words is "five hundred thirteen billion, nine hundred forty-two million, five hundred forty thousand, seven hundred twenty".