513948 has 12 divisors (see below), whose sum is σ = 1199240. Its totient is φ = 171312.

The previous prime is 513943. The next prime is 513977. The reversal of 513948 is 849315.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 513948.

It is not an unprimeable number, because it can be changed into a prime (513943) by changing a digit.

513948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21403 + ... + 21426.

2⁵¹³⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

513948 is an abundant number, since it is smaller than the sum of its proper divisors (685292).

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

513948 is a wasteful number, since it uses less digits than its factorization.

513948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42836 (or 42834 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 513948 is about 716.9016668972. The cubic root of 513948 is about 80.1013299322.

The spelling of 513948 in words is "five hundred thirteen thousand, nine hundred forty-eight".