507315 has 16 divisors (see below), whose sum is σ = 838656. Its totient is φ = 261600.

The previous prime is 507313. The next prime is 507317. The reversal of 507315 is 513705.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (507313) and next prime (507317).

It is not a de Polignac number, because 507315 - 2¹ = 507313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 507291 and 507300.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 507315.

It is not an unprimeable number, because it can be changed into a prime (507313) 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, 81 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (52416).

2⁵⁰⁷³¹⁵ is an apocalyptic number.

507315 is a deficient number, since it is larger than the sum of its proper divisors (331341).

507315 is a wasteful number, since it uses less digits than its factorization.

507315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130.

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

The square root of 507315 is about 712.2604860583. The cubic root of 507315 is about 79.7552415131.

The spelling of 507315 in words is "five hundred seven thousand, three hundred fifteen".