513434421113 has 2 divisors, whose sum is σ = 513434421114. Its totient is φ = 513434421112.

The previous prime is 513434421091. The next prime is 513434421131. The reversal of 513434421113 is 311124434315.

Together with next prime (513434421131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 511608311824 + 1826109289 = 715268^2 + 42733^2 .

It is a cyclic number.

It is not a de Polignac number, because 513434421113 - 2¹² = 513434417017 is a prime.

It is a super-2 number, since 2×513434421113² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513434421113.

It is not a weakly prime, because it can be changed into another prime (513434421013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256717210556 + 256717210557.

It is an arithmetic number, because the mean of its divisors is an integer number (256717210557).

Almost surely, 2^513434421113 is an apocalyptic number.

It is an amenable number.

513434421113 is a deficient number, since it is larger than the sum of its proper divisors (1).

513434421113 is an equidigital number, since it uses as much as digits as its factorization.

513434421113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17280, while the sum is 32.

Adding to 513434421113 its reverse (311124434315), we get a palindrome (824558855428).

The spelling of 513434421113 in words is "five hundred thirteen billion, four hundred thirty-four million, four hundred twenty-one thousand, one hundred thirteen".