315013 has 2 divisors, whose sum is σ = 315014. Its totient is φ = 315012.

The previous prime is 315011. The next prime is 315037. The reversal of 315013 is 310513.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 294849 + 20164 = 543^2 + 142^2 .

It is a cyclic number.

It is not a de Polignac number, because 315013 - 2¹ = 315011 is a prime.

Together with 315011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 314984 and 315002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (315011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157506 + 157507.

It is an arithmetic number, because the mean of its divisors is an integer number (157507).

2³¹⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

315013 is a deficient number, since it is larger than the sum of its proper divisors (1).

315013 is an equidigital number, since it uses as much as digits as its factorization.

315013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 315013 is about 561.2601892171. The cubic root of 315013 is about 68.0418571593.

Adding to 315013 its reverse (310513), we get a palindrome (625526).

It can be divided in two parts, 31 and 5013, that multiplied together give a triangular number (155403 = T₅₅₇).

The spelling of 315013 in words is "three hundred fifteen thousand, thirteen".