513297984 has 56 divisors (see below), whose sum is σ = 1365308928. Its totient is φ = 170191360.

The previous prime is 513297937. The next prime is 513297989. The reversal of 513297984 is 489792315.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (513297989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29674 + ... + 43670.

Almost surely, 2^513297984 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 513297984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682654464).

513297984 is an abundant number, since it is smaller than the sum of its proper divisors (852010944).

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

513297984 is a wasteful number, since it uses less digits than its factorization.

513297984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14203 (or 14193 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 513297984 is about 22656.0805083315. The cubic root of 513297984 is about 800.6754628602.

The spelling of 513297984 in words is "five hundred thirteen million, two hundred ninety-seven thousand, nine hundred eighty-four".