513428751360 has 1232 divisors, whose sum is σ = 2164200018816. Its totient is φ = 114375131136.

The previous prime is 513428751337. The next prime is 513428751379. The reversal of 513428751360 is 63157824315.

It is a happy number.

513428751360 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 287 + 5 + 1 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1123476252 + ... + 1123476708.

Almost surely, 2^513428751360 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 513428751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082100009408).

513428751360 is an abundant number, since it is smaller than the sum of its proper divisors (1650771267456).

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

513428751360 is an equidigital number, since it uses as much as digits as its factorization.

513428751360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 513428751360 in words is "five hundred thirteen billion, four hundred twenty-eight million, seven hundred fifty-one thousand, three hundred sixty".