521513323110413 has 2 divisors, whose sum is σ = 521513323110414. Its totient is φ = 521513323110412.

The previous prime is 521513323110401. The next prime is 521513323110443. The reversal of 521513323110413 is 314011323315125.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 520383602838724 + 1129720271689 = 22811918^2 + 1062883^2 .

It is a cyclic number.

It is not a de Polignac number, because 521513323110413 - 2²⁴ = 521513306333197 is a prime.

It is a super-2 number, since 2×521513323110413² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (521513323110443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 260756661555206 + 260756661555207.

It is an arithmetic number, because the mean of its divisors is an integer number (260756661555207).

Almost surely, 2^{521513323110413} is an apocalyptic number.

It is an amenable number.

521513323110413 is a deficient number, since it is larger than the sum of its proper divisors (1).

521513323110413 is an equidigital number, since it uses as much as digits as its factorization.

521513323110413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 35.

Adding to 521513323110413 its reverse (314011323315125), we get a palindrome (835524646425538).

The spelling of 521513323110413 in words is "five hundred twenty-one trillion, five hundred thirteen billion, three hundred twenty-three million, one hundred ten thousand, four hundred thirteen".