513978 has 16 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 161216.

The previous prime is 513977. The next prime is 513991. The reversal of 513978 is 879315.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513978.

It is not an unprimeable number, because it can be changed into a prime (513977) 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, 2418 + ... + 2621.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

2⁵¹³⁹⁷⁸ is an apocalyptic number.

513978 is an abundant number, since it is smaller than the sum of its proper divisors (574662).

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

513978 is a wasteful number, since it uses less digits than its factorization.

513978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061.

The product of its digits is 7560, while the sum is 33.

The square root of 513978 is about 716.9225899635. The cubic root of 513978 is about 80.1028884512.

The spelling of 513978 in words is "five hundred thirteen thousand, nine hundred seventy-eight".