415013 has 2 divisors, whose sum is σ = 415014. Its totient is φ = 415012.

The previous prime is 414991. The next prime is 415031. The reversal of 415013 is 310514.

Together with next prime (415031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268324 + 146689 = 518^2 + 383^2 .

It is a cyclic number.

It is not a de Polignac number, because 415013 - 2⁶ = 414949 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207506 + 207507.

It is an arithmetic number, because the mean of its divisors is an integer number (207507).

2⁴¹⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

415013 is a deficient number, since it is larger than the sum of its proper divisors (1).

415013 is an equidigital number, since it uses as much as digits as its factorization.

415013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 415013 is about 644.2150262141. The cubic root of 415013 is about 74.5911381059.

Adding to 415013 its reverse (310514), we get a palindrome (725527).

The spelling of 415013 in words is "four hundred fifteen thousand, thirteen".