513919655964 has 480 divisors, whose sum is σ = 1648492339200. Its totient is φ = 137377088640.

The previous prime is 513919655933. The next prime is 513919655971. The reversal of 513919655964 is 469556919315.

513919655964 is a `hidden beast` number, since 5 + 1 + 3 + 9 + 19 + 6 + 559 + 64 = 666.

It is a super-2 number, since 2×513919655964² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 472786629 + ... + 472787715.

It is an arithmetic number, because the mean of its divisors is an integer number (3434359040).

Almost surely, 2^513919655964 is an apocalyptic number.

513919655964 is a gapful number since it is divisible by the number (54) 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 513919655964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824246169600).

513919655964 is an abundant number, since it is smaller than the sum of its proper divisors (1134572683236).

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

513919655964 is a wasteful number, since it uses less digits than its factorization.

513919655964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1139 counting only the distinct ones).

The product of its digits is 39366000, while the sum is 63.

The spelling of 513919655964 in words is "five hundred thirteen billion, nine hundred nineteen million, six hundred fifty-five thousand, nine hundred sixty-four".