465600013 has 2 divisors, whose sum is σ = 465600014. Its totient is φ = 465600012.

The previous prime is 465600011. The next prime is 465600019. The reversal of 465600013 is 310006564.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 441756324 + 23843689 = 21018^2 + 4883^2 .

It is a cyclic number.

It is not a de Polignac number, because 465600013 - 2¹ = 465600011 is a prime.

Together with 465600011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (465600011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232800006 + 232800007.

It is an arithmetic number, because the mean of its divisors is an integer number (232800007).

Almost surely, 2^465600013 is an apocalyptic number.

It is an amenable number.

465600013 is a deficient number, since it is larger than the sum of its proper divisors (1).

465600013 is an equidigital number, since it uses as much as digits as its factorization.

465600013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 465600013 is about 21577.7666360539. The cubic root of 465600013 is about 775.0641711692.

Adding to 465600013 its reverse (310006564), we get a palindrome (775606577).

The spelling of 465600013 in words is "four hundred sixty-five million, six hundred thousand, thirteen".