513887 has 12 divisors (see below), whose sum is σ = 587328. Its totient is φ = 448800.

The previous prime is 513881. The next prime is 513899. The reversal of 513887 is 788315.

513887 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 513887 - 2⁴ = 513871 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513881) 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, 3683 + ... + 3819.

It is an arithmetic number, because the mean of its divisors is an integer number (48944).

2⁵¹³⁸⁸⁷ is an apocalyptic number.

513887 is a deficient number, since it is larger than the sum of its proper divisors (73441).

513887 is a wasteful number, since it uses less digits than its factorization.

513887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its digits is 6720, while the sum is 32.

The square root of 513887 is about 716.8591214458. The cubic root of 513887 is about 80.0981607566.

It can be divided in two parts, 5138 and 87, that added together give a palindrome (5225).

The spelling of 513887 in words is "five hundred thirteen thousand, eight hundred eighty-seven".