513136681 has 2 divisors, whose sum is σ = 513136682. Its totient is φ = 513136680.

The previous prime is 513136649. The next prime is 513136691. The reversal of 513136681 is 186631315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337971456 + 175165225 = 18384^2 + 13235^2 .

It is a cyclic number.

It is not a de Polignac number, because 513136681 - 2⁵ = 513136649 is a prime.

It is a super-2 number, since 2×513136681² = 526618506775391522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (513136691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256568340 + 256568341.

It is an arithmetic number, because the mean of its divisors is an integer number (256568341).

Almost surely, 2^513136681 is an apocalyptic number.

It is an amenable number.

513136681 is a deficient number, since it is larger than the sum of its proper divisors (1).

513136681 is an equidigital number, since it uses as much as digits as its factorization.

513136681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 34.

The square root of 513136681 is about 22652.5204116451. The cubic root of 513136681 is about 800.5915837821.

Adding to 513136681 its reverse (186631315), we get a palindrome (699767996).

The spelling of 513136681 in words is "five hundred thirteen million, one hundred thirty-six thousand, six hundred eighty-one".