513075 has 12 divisors (see below), whose sum is σ = 848408. Its totient is φ = 273600.

The previous prime is 513067. The next prime is 513083. The reversal of 513075 is 570315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (513067) and next prime (513083).

It is not a de Polignac number, because 513075 - 2³ = 513067 is a prime.

It is a Duffinian number.

513075 is a lucky number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3346 + ... + 3495.

2⁵¹³⁰⁷⁵ is an apocalyptic number.

513075 is a deficient number, since it is larger than the sum of its proper divisors (335333).

513075 is a wasteful number, since it uses less digits than its factorization.

513075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 513075 is about 716.2925380039. The cubic root of 513075 is about 80.0559504436.

The spelling of 513075 in words is "five hundred thirteen thousand, seventy-five".