152304520013 has 2 divisors, whose sum is σ = 152304520014. Its totient is φ = 152304520012.

The previous prime is 152304520007. The next prime is 152304520051. The reversal of 152304520013 is 310025403251.

It is a happy number.

152304520013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77196732649 + 75107787364 = 277843^2 + 274058^2 .

It is a cyclic number.

It is not a de Polignac number, because 152304520013 - 2³⁶ = 83585043277 is a prime.

It is a super-3 number, since 3×152304520013³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (152304520913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76152260006 + 76152260007.

It is an arithmetic number, because the mean of its divisors is an integer number (76152260007).

Almost surely, 2^152304520013 is an apocalyptic number.

It is an amenable number.

152304520013 is a deficient number, since it is larger than the sum of its proper divisors (1).

152304520013 is an equidigital number, since it uses as much as digits as its factorization.

152304520013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 152304520013 its reverse (310025403251), we get a palindrome (462329923264).

The spelling of 152304520013 in words is "one hundred fifty-two billion, three hundred four million, five hundred twenty thousand, thirteen".