513015 has 16 divisors (see below), whose sum is σ = 857088. Its totient is φ = 261536.

The previous prime is 513013. The next prime is 513017. The reversal of 513015 is 510315.

It is an interprime number because it is at equal distance from previous prime (513013) and next prime (513017).

It is a cyclic number.

It is not a de Polignac number, because 513015 - 2¹ = 513013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

513015 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 512985 and 513003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (53568).

2⁵¹³⁰¹⁵ is an apocalyptic number.

513015 is a deficient number, since it is larger than the sum of its proper divisors (344073).

513015 is a wasteful number, since it uses less digits than its factorization.

513015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 513015 is about 716.2506544500. The cubic root of 513015 is about 80.0528296885.

The spelling of 513015 in words is "five hundred thirteen thousand, fifteen".