513377 has 4 divisors (see below), whose sum is σ = 525360. Its totient is φ = 501396.

The previous prime is 513371. The next prime is 513397. The reversal of 513377 is 773315.

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 513377 - 2⁶ = 513313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5927 + ... + 6012.

It is an arithmetic number, because the mean of its divisors is an integer number (131340).

2⁵¹³³⁷⁷ is an apocalyptic number.

It is an amenable number.

513377 is a deficient number, since it is larger than the sum of its proper divisors (11983).

513377 is a wasteful number, since it uses less digits than its factorization.

513377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11982.

The product of its digits is 2205, while the sum is 26.

The square root of 513377 is about 716.5033147167. The cubic root of 513377 is about 80.0716545512.

The spelling of 513377 in words is "five hundred thirteen thousand, three hundred seventy-seven".