257521743 has 12 divisors (see below), whose sum is σ = 383975488. Its totient is φ = 166142880.

The previous prime is 257521741. The next prime is 257521787. The reversal of 257521743 is 347125752.

It is not a de Polignac number, because 257521743 - 2¹ = 257521741 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257521698 and 257521707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257521741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461230 + ... + 461787.

Almost surely, 2^257521743 is an apocalyptic number.

257521743 is a deficient number, since it is larger than the sum of its proper divisors (126453745).

257521743 is a wasteful number, since it uses less digits than its factorization.

257521743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923054 (or 923051 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 257521743 is about 16047.4840084046. The cubic root of 257521743 is about 636.2160696380.

It can be divided in two parts, 25752 and 1743, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 257521743 in words is "two hundred fifty-seven million, five hundred twenty-one thousand, seven hundred forty-three".