513285478992 has 480 divisors, whose sum is σ = 1749484553600. Its totient is φ = 143125678080.

The previous prime is 513285478969. The next prime is 513285478999. The reversal of 513285478992 is 299874582315.

513285478992 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 8 + 547 + 89 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513285478999) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257543148 + ... + 257545140.

Almost surely, 2^513285478992 is an apocalyptic number.

513285478992 is a gapful number since it is divisible by the number (52) 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 513285478992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874742276800).

513285478992 is an abundant number, since it is smaller than the sum of its proper divisors (1236199074608).

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

513285478992 is a wasteful number, since it uses less digits than its factorization.

513285478992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2401 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 513285478992 in words is "five hundred thirteen billion, two hundred eighty-five million, four hundred seventy-eight thousand, nine hundred ninety-two".