513511521113 has 2 divisors, whose sum is σ = 513511521114. Its totient is φ = 513511521112.

The previous prime is 513511521101. The next prime is 513511521121. The reversal of 513511521113 is 311125115315.

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., 463390609984 + 50120911129 = 680728^2 + 223877^2 .

It is a cyclic number.

It is not a de Polignac number, because 513511521113 - 2¹⁰ = 513511520089 is a prime.

It is not a weakly prime, because it can be changed into another prime (513511521713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256755760556 + 256755760557.

It is an arithmetic number, because the mean of its divisors is an integer number (256755760557).

Almost surely, 2^513511521113 is an apocalyptic number.

It is an amenable number.

513511521113 is a deficient number, since it is larger than the sum of its proper divisors (1).

513511521113 is an equidigital number, since it uses as much as digits as its factorization.

513511521113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2250, while the sum is 29.

Adding to 513511521113 its reverse (311125115315), we get a palindrome (824636636428).

The spelling of 513511521113 in words is "five hundred thirteen billion, five hundred eleven million, five hundred twenty-one thousand, one hundred thirteen".