257415781093 has 2 divisors, whose sum is σ = 257415781094. Its totient is φ = 257415781092.

The previous prime is 257415781087. The next prime is 257415781097. The reversal of 257415781093 is 390187514752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142184047329 + 115231733764 = 377073^2 + 339458^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257415781093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257415781093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257415781097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128707890546 + 128707890547.

It is an arithmetic number, because the mean of its divisors is an integer number (128707890547).

Almost surely, 2^257415781093 is an apocalyptic number.

It is an amenable number.

257415781093 is a deficient number, since it is larger than the sum of its proper divisors (1).

257415781093 is an equidigital number, since it uses as much as digits as its factorization.

257415781093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2116800, while the sum is 52.

The spelling of 257415781093 in words is "two hundred fifty-seven billion, four hundred fifteen million, seven hundred eighty-one thousand, ninety-three".