257080075 has 24 divisors (see below), whose sum is σ = 366217632. Its totient is φ = 175365120.

The previous prime is 257080073. The next prime is 257080081. The reversal of 257080075 is 570080752.

It is not a de Polignac number, because 257080075 - 2¹ = 257080073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257080075.

It is not an unprimeable number, because it can be changed into a prime (257080073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30747 + ... + 38203.

It is an arithmetic number, because the mean of its divisors is an integer number (15259068).

Almost surely, 2^257080075 is an apocalyptic number.

257080075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257080075 is a deficient number, since it is larger than the sum of its proper divisors (109137557).

257080075 is a wasteful number, since it uses less digits than its factorization.

257080075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7671 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 257080075 is about 16033.7168180057. The cubic root of 257080075 is about 635.8521429887.

The spelling of 257080075 in words is "two hundred fifty-seven million, eighty thousand, seventy-five".