513774 has 48 divisors (see below), whose sum is σ = 1246752. Its totient is φ = 152064.

The previous prime is 513769. The next prime is 513781. The reversal of 513774 is 477315.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513774.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7002 + ... + 7074.

It is an arithmetic number, because the mean of its divisors is an integer number (25974).

2⁵¹³⁷⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623376).

513774 is an abundant number, since it is smaller than the sum of its proper divisors (732978).

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

513774 is a wasteful number, since it uses less digits than its factorization.

513774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 513774 is about 716.7803010686. The cubic root of 513774 is about 80.0922893259.

The spelling of 513774 in words is "five hundred thirteen thousand, seven hundred seventy-four".