513138261023 has 2 divisors, whose sum is σ = 513138261024. Its totient is φ = 513138261022.

The previous prime is 513138261017. The next prime is 513138261029. The reversal of 513138261023 is 320162831315.

It is a balanced prime because it is at equal distance from previous prime (513138261017) and next prime (513138261029).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513138261023 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513138261029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256569130511 + 256569130512.

It is an arithmetic number, because the mean of its divisors is an integer number (256569130512).

Almost surely, 2^513138261023 is an apocalyptic number.

513138261023 is a deficient number, since it is larger than the sum of its proper divisors (1).

513138261023 is an equidigital number, since it uses as much as digits as its factorization.

513138261023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 513138261023 in words is "five hundred thirteen billion, one hundred thirty-eight million, two hundred sixty-one thousand, twenty-three".