510113 has 4 divisors (see below), whose sum is σ = 512148. Its totient is φ = 508080.

The previous prime is 510101. The next prime is 510121. The reversal of 510113 is 311015.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 204304 + 305809 = 452^2 + 553^2 .

It is a cyclic number.

It is not a de Polignac number, because 510113 - 2⁶ = 510049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 510094 and 510103.

It is not an unprimeable number, because it can be changed into a prime (510613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 578 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (128037).

2⁵¹⁰¹¹³ is an apocalyptic number.

It is an amenable number.

510113 is a deficient number, since it is larger than the sum of its proper divisors (2035).

510113 is a wasteful number, since it uses less digits than its factorization.

510113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 510113 is about 714.2219542971. The cubic root of 510113 is about 79.9015977621.

Adding to 510113 its reverse (311015), we get a palindrome (821128).

It can be divided in two parts, 510 and 113, that multiplied together give a triangular number (57630 = T₃₃₉).

The spelling of 510113 in words is "five hundred ten thousand, one hundred thirteen".