257345763 has 16 divisors (see below), whose sum is σ = 350144256. Its totient is φ = 168078240.

The previous prime is 257345761. The next prime is 257345789. The reversal of 257345763 is 367543752.

It is a Cunningham number, because it is equal to 16042²-1.

It is not a de Polignac number, because 257345763 - 2¹ = 257345761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257345761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45456 + ... + 50802.

It is an arithmetic number, because the mean of its divisors is an integer number (21884016).

Almost surely, 2^257345763 is an apocalyptic number.

257345763 is a deficient number, since it is larger than the sum of its proper divisors (92798493).

257345763 is a wasteful number, since it uses less digits than its factorization.

257345763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674.

The product of its digits is 529200, while the sum is 42.

The square root of 257345763 is about 16041.9999688318. Note that the first 4 decimals coincide. The cubic root of 257345763 is about 636.0711151245.

The spelling of 257345763 in words is "two hundred fifty-seven million, three hundred forty-five thousand, seven hundred sixty-three".