512510110341013 has 2 divisors, whose sum is σ = 512510110341014. Its totient is φ = 512510110341012.

The previous prime is 512510110340903. The next prime is 512510110341101. The reversal of 512510110341013 is 310143011015215.

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., 447946346256049 + 64563764084964 = 21164743^2 + 8035158^2 .

It is a cyclic number.

It is not a de Polignac number, because 512510110341013 - 2³⁷ = 512372671387541 is a prime.

It is a super-2 number, since 2×512510110341013² (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 (512510110341113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256255055170506 + 256255055170507.

It is an arithmetic number, because the mean of its divisors is an integer number (256255055170507).

Almost surely, 2^{512510110341013} is an apocalyptic number.

It is an amenable number.

512510110341013 is a deficient number, since it is larger than the sum of its proper divisors (1).

512510110341013 is an equidigital number, since it uses as much as digits as its factorization.

512510110341013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 512510110341013 its reverse (310143011015215), we get a palindrome (822653121356228).

The spelling of 512510110341013 in words is "five hundred twelve trillion, five hundred ten billion, one hundred ten million, three hundred forty-one thousand, thirteen".