513897984 has 120 divisors (see below), whose sum is σ = 1492679760. Its totient is φ = 170201088.

The previous prime is 513897983. The next prime is 513897991. The reversal of 513897984 is 489798315.

It is a super-2 number, since 2×513897984² = 528182275918528512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513897984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513897983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1054989 + ... + 1055475.

It is an arithmetic number, because the mean of its divisors is an integer number (12438998).

Almost surely, 2^513897984 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 513897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746339880).

513897984 is an abundant number, since it is smaller than the sum of its proper divisors (978781776).

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

513897984 is a wasteful number, since it uses less digits than its factorization.

513897984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 721 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 513897984 is about 22669.3181194318. The cubic root of 513897984 is about 800.9873143451.

The spelling of 513897984 in words is "five hundred thirteen million, eight hundred ninety-seven thousand, nine hundred eighty-four".