513773922816 has 800 divisors, whose sum is σ = 1921508265600. Its totient is φ = 132776755200.

The previous prime is 513773922811. The next prime is 513773922821. The reversal of 513773922816 is 618229377315.

513773922816 is a `hidden beast` number, since 5 + 1 + 377 + 39 + 228 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (513773922811) and next prime (513773922821).

It is a super-2 number, since 2×513773922816² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (513773922811) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1114476826 + ... + 1114477286.

It is an arithmetic number, because the mean of its divisors is an integer number (2401885332).

Almost surely, 2^513773922816 is an apocalyptic number.

513773922816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513773922816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960754132800).

513773922816 is an abundant number, since it is smaller than the sum of its proper divisors (1407734342784).

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

513773922816 is a wasteful number, since it uses less digits than its factorization.

513773922816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 833 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 513773922816 in words is "five hundred thirteen billion, seven hundred seventy-three million, nine hundred twenty-two thousand, eight hundred sixteen".