513051 has 16 divisors (see below), whose sum is σ = 853248. Its totient is φ = 266400.

The previous prime is 513047. The next prime is 513053. The reversal of 513051 is 150315.

It is not a de Polignac number, because 513051 - 2² = 513047 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513051.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513051.

It is not an unprimeable number, because it can be changed into a prime (513053) 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 15 ways as a sum of consecutive naturals, for example, 880 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (53328).

2⁵¹³⁰⁵¹ is an apocalyptic number.

513051 is a deficient number, since it is larger than the sum of its proper divisors (340197).

513051 is a wasteful number, since it uses less digits than its factorization.

513051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242.

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

The square root of 513051 is about 716.2757848762. The cubic root of 513051 is about 80.0547021707.

Adding to 513051 its reverse (150315), we get a palindrome (663366).

The spelling of 513051 in words is "five hundred thirteen thousand, fifty-one".