15413364310081 has 2 divisors, whose sum is σ = 15413364310082. Its totient is φ = 15413364310080.

The previous prime is 15413364310021. The next prime is 15413364310139. The reversal of 15413364310081 is 18001346331451.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7831932476481 + 7581431833600 = 2798559^2 + 2753440^2 .

It is a cyclic number.

It is not a de Polignac number, because 15413364310081 - 2¹³ = 15413364301889 is a prime.

It is a super-2 number, since 2×15413364310081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (15413364310021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7706682155040 + 7706682155041.

It is an arithmetic number, because the mean of its divisors is an integer number (7706682155041).

Almost surely, 2^{15413364310081} is an apocalyptic number.

It is an amenable number.

15413364310081 is a deficient number, since it is larger than the sum of its proper divisors (1).

15413364310081 is an equidigital number, since it uses as much as digits as its factorization.

15413364310081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 15413364310081 in words is "fifteen trillion, four hundred thirteen billion, three hundred sixty-four million, three hundred ten thousand, eighty-one".