257405755 has 16 divisors (see below), whose sum is σ = 330243264. Its totient is φ = 191923200.

The previous prime is 257405717. The next prime is 257405773. The reversal of 257405755 is 557504752.

It is not a de Polignac number, because 257405755 - 2⁹ = 257405243 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5946 + ... + 23455.

It is an arithmetic number, because the mean of its divisors is an integer number (20640204).

Almost surely, 2^257405755 is an apocalyptic number.

257405755 is a deficient number, since it is larger than the sum of its proper divisors (72837509).

257405755 is a wasteful number, since it uses less digits than its factorization.

257405755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29526.

The product of its (nonzero) digits is 245000, while the sum is 40.

The square root of 257405755 is about 16043.8697015402. The cubic root of 257405755 is about 636.1205378843.

The spelling of 257405755 in words is "two hundred fifty-seven million, four hundred five thousand, seven hundred fifty-five".