513954 has 24 divisors (see below), whose sum is σ = 1272960. Its totient is φ = 146808.

The previous prime is 513943. The next prime is 513977. The reversal of 513954 is 459315.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513954.

It is an unprimeable number.

513954 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1914 + ... + 2165.

It is an arithmetic number, because the mean of its divisors is an integer number (53040).

2⁵¹³⁹⁵⁴ is an apocalyptic number.

513954 is an abundant number, since it is smaller than the sum of its proper divisors (759006).

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

513954 is a wasteful number, since it uses less digits than its factorization.

513954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4091 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 513954 is about 716.9058515593. The cubic root of 513954 is about 80.1016416409.

It can be divided in two parts, 51 and 3954, that added together give a triangular number (4005 = T₈₉).

The spelling of 513954 in words is "five hundred thirteen thousand, nine hundred fifty-four".