515307 has 16 divisors (see below), whose sum is σ = 754208. Its totient is φ = 311040.

The previous prime is 515293. The next prime is 515311. The reversal of 515307 is 703515.

It is a happy number.

It is not a de Polignac number, because 515307 - 2¹² = 511211 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 515307.

It is not an unprimeable number, because it can be changed into a prime (515357) 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, 2757 + ... + 2937.

It is an arithmetic number, because the mean of its divisors is an integer number (47138).

2⁵¹⁵³⁰⁷ is an apocalyptic number.

515307 is a deficient number, since it is larger than the sum of its proper divisors (238901).

515307 is a wasteful number, since it uses less digits than its factorization.

515307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270.

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

The square root of 515307 is about 717.8488698884. The cubic root of 515307 is about 80.1718700774.

The spelling of 515307 in words is "five hundred fifteen thousand, three hundred seven".