513481962462720 has 640 divisors, whose sum is σ = 1714320867156480. Its totient is φ = 130951102464000.

The previous prime is 513481962462607. The next prime is 513481962462857. The reversal of 513481962462720 is 27264269184315.

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

It is a super-2 number, since 2×513481962462720² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15784372855 + ... + 15784405385.

It is an arithmetic number, because the mean of its divisors is an integer number (2678626354932).

It is a 1-persistent number, because it is pandigital, but 2⋅513481962462720 = 1026963924925440 is not.

Almost surely, 2^{513481962462720} 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 513481962462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857160433578240).

513481962462720 is an abundant number, since it is smaller than the sum of its proper divisors (1200838904693760).

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

513481962462720 is a wasteful number, since it uses less digits than its factorization.

513481962462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33258 (or 33242 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 513481962462720 in words is "five hundred thirteen trillion, four hundred eighty-one billion, nine hundred sixty-two million, four hundred sixty-two thousand, seven hundred twenty".