513953 has 4 divisors (see below), whose sum is σ = 560688. Its totient is φ = 467220.

The previous prime is 513943. The next prime is 513977. The reversal of 513953 is 359315.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 513953 - 2⁴ = 513937 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513953.

It is not an unprimeable number, because it can be changed into a prime (513923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23351 + ... + 23372.

It is an arithmetic number, because the mean of its divisors is an integer number (140172).

2⁵¹³⁹⁵³ is an apocalyptic number.

It is an amenable number.

513953 is a deficient number, since it is larger than the sum of its proper divisors (46735).

513953 is a wasteful number, since it uses less digits than its factorization.

513953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46734.

The product of its digits is 2025, while the sum is 26.

The square root of 513953 is about 716.9051541173. The cubic root of 513953 is about 80.1015896896.

It can be divided in two parts, 51 and 3953, that added together give a palindrome (4004).

The spelling of 513953 in words is "five hundred thirteen thousand, nine hundred fifty-three".