513489772224 has 1120 divisors, whose sum is σ = 1865132867136. Its totient is φ = 137594142720.

The previous prime is 513489772193. The next prime is 513489772247. The reversal of 513489772224 is 422277984315.

513489772224 is a `hidden beast` number, since 5 + 1 + 348 + 9 + 7 + 72 + 224 = 666.

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

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, 2660568672 + ... + 2660568864.

Almost surely, 2^513489772224 is an apocalyptic number.

513489772224 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 513489772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932566433568).

513489772224 is an abundant number, since it is smaller than the sum of its proper divisors (1351643094912).

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

513489772224 is a wasteful number, since it uses less digits than its factorization.

513489772224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 356 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 513489772224 in words is "five hundred thirteen billion, four hundred eighty-nine million, seven hundred seventy-two thousand, two hundred twenty-four".