513940 has 24 divisors (see below), whose sum is σ = 1233792. Its totient is φ = 176160.

The previous prime is 513937. The next prime is 513943. The reversal of 513940 is 49315.

513940 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (513937) and next prime (513943).

It is a nialpdrome in base 14.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513943) 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, 1696 + ... + 1975.

It is an arithmetic number, because the mean of its divisors is an integer number (51408).

2⁵¹³⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

513940 is an abundant number, since it is smaller than the sum of its proper divisors (719852).

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

513940 is a wasteful number, since it uses less digits than its factorization.

513940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 513940 is about 716.8960873097. The cubic root of 513940 is about 80.1009143169.

The spelling of 513940 in words is "five hundred thirteen thousand, nine hundred forty".