513395890560 has 768 divisors, whose sum is σ = 2098489835520. Its totient is φ = 113179852800.

The previous prime is 513395890547. The next prime is 513395890583. The reversal of 513395890560 is 65098593315.

It is a happy number.

513395890560 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 9 + 589 + 0 + 56 + 0 = 666.

It is a super-2 number, since 2×513395890560² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513395890497 and 513395890506.

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, 538715044 + ... + 538715996.

It is an arithmetic number, because the mean of its divisors is an integer number (2732408640).

Almost surely, 2^513395890560 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 513395890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049244917760).

513395890560 is an abundant number, since it is smaller than the sum of its proper divisors (1585093944960).

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

513395890560 is a wasteful number, since it uses less digits than its factorization.

513395890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 513395890560 in words is "five hundred thirteen billion, three hundred ninety-five million, eight hundred ninety thousand, five hundred sixty".