513738 has 12 divisors (see below), whose sum is σ = 1113138. Its totient is φ = 171240.

The previous prime is 513731. The next prime is 513739. The reversal of 513738 is 837315.

It can be written as a sum of positive squares in only one way, i.e., 480249 + 33489 = 693^2 + 183^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513738.

It is not an unprimeable number, because it can be changed into a prime (513731) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14253 + ... + 14288.

2⁵¹³⁷³⁸ is an apocalyptic number.

513738 is an abundant number, since it is smaller than the sum of its proper divisors (599400).

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

513738 is a wasteful number, since it uses less digits than its factorization.

513738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28549 (or 28546 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 513738 is about 716.7551883314. The cubic root of 513738 is about 80.0904186008.

The spelling of 513738 in words is "five hundred thirteen thousand, seven hundred thirty-eight".