513864798720 has 640 divisors, whose sum is σ = 2060157141504. Its totient is φ = 106366500864.

The previous prime is 513864798709. The next prime is 513864798731. The reversal of 513864798720 is 27897468315.

It is an interprime number because it is at equal distance from previous prime (513864798709) and next prime (513864798731).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×513864798720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37033704 + ... + 37047576.

It is a 1-persistent number, because it is pandigital, but 2⋅513864798720 = 1027729597440 is not.

Almost surely, 2^513864798720 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 513864798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030078570752).

513864798720 is an abundant number, since it is smaller than the sum of its proper divisors (1546292342784).

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

513864798720 is a wasteful number, since it uses less digits than its factorization.

513864798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13972 (or 13956 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 513864798720 in words is "five hundred thirteen billion, eight hundred sixty-four million, seven hundred ninety-eight thousand, seven hundred twenty".