513829748293 has 2 divisors, whose sum is σ = 513829748294. Its totient is φ = 513829748292.

The previous prime is 513829748281. The next prime is 513829748329. The reversal of 513829748293 is 392847928315.

Together with next prime (513829748329) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 372658969764 + 141170778529 = 610458^2 + 375727^2 .

It is a cyclic number.

It is not a de Polignac number, because 513829748293 - 2⁵ = 513829748261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513829748273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256914874146 + 256914874147.

It is an arithmetic number, because the mean of its divisors is an integer number (256914874147).

Almost surely, 2^513829748293 is an apocalyptic number.

It is an amenable number.

513829748293 is a deficient number, since it is larger than the sum of its proper divisors (1).

513829748293 is an equidigital number, since it uses as much as digits as its factorization.

513829748293 is an evil number, because the sum of its binary digits is even.

The product of its digits is 26127360, while the sum is 61.

The spelling of 513829748293 in words is "five hundred thirteen billion, eight hundred twenty-nine million, seven hundred forty-eight thousand, two hundred ninety-three".