513477 has 12 divisors (see below), whose sum is σ = 755040. Its totient is φ = 336168.

The previous prime is 513473. The next prime is 513479. The reversal of 513477 is 774315.

It is not a de Polignac number, because 513477 - 2² = 513473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48 + ... + 1014.

It is an arithmetic number, because the mean of its divisors is an integer number (62920).

2⁵¹³⁴⁷⁷ is an apocalyptic number.

It is an amenable number.

513477 is a deficient number, since it is larger than the sum of its proper divisors (241563).

513477 is a wasteful number, since it uses less digits than its factorization.

513477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1029 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 513477 is about 716.5730946666. The cubic root of 513477 is about 80.0768532295.

It can be divided in two parts, 513 and 477, that added together give a triangular number (990 = T₄₄).

The spelling of 513477 in words is "five hundred thirteen thousand, four hundred seventy-seven".