513493863120 has 480 divisors, whose sum is σ = 2095962635520. Its totient is φ = 109979320320.

The previous prime is 513493863107. The next prime is 513493863131. The reversal of 513493863120 is 21368394315.

513493863120 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 9 + 3 + 8 + 631 + 2 + 0 = 666.

It is a super-2 number, since 2×513493863120² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 19607635 + ... + 19633805.

It is an arithmetic number, because the mean of its divisors is an integer number (4366588824).

Almost surely, 2^513493863120 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 513493863120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047981317760).

513493863120 is an abundant number, since it is smaller than the sum of its proper divisors (1582468772400).

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

513493863120 is a wasteful number, since it uses less digits than its factorization.

513493863120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26443 (or 26434 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 513493863120 in words is "five hundred thirteen billion, four hundred ninety-three million, eight hundred sixty-three thousand, one hundred twenty".