257654282456749 has 2 divisors, whose sum is σ = 257654282456750. Its totient is φ = 257654282456748.

The previous prime is 257654282456729. The next prime is 257654282456761. The reversal of 257654282456749 is 947654282456752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178563622072900 + 79090660383849 = 13362770^2 + 8893293^2 .

It is a cyclic number.

It is not a de Polignac number, because 257654282456749 - 2¹⁷ = 257654282325677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257654282456729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128827141228374 + 128827141228375.

It is an arithmetic number, because the mean of its divisors is an integer number (128827141228375).

Almost surely, 2^{257654282456749} is an apocalyptic number.

It is an amenable number.

257654282456749 is a deficient number, since it is larger than the sum of its proper divisors (1).

257654282456749 is an equidigital number, since it uses as much as digits as its factorization.

257654282456749 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8128512000, while the sum is 76.

The spelling of 257654282456749 in words is "two hundred fifty-seven trillion, six hundred fifty-four billion, two hundred eighty-two million, four hundred fifty-six thousand, seven hundred forty-nine".