257799093 has 8 divisors (see below), whose sum is σ = 344064000. Its totient is φ = 171700128.

The previous prime is 257799071. The next prime is 257799097. The reversal of 257799093 is 390997752.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257799093 - 2⁶ = 257799029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257799097) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 37813 + ... + 44106.

It is an arithmetic number, because the mean of its divisors is an integer number (43008000).

Almost surely, 2^257799093 is an apocalyptic number.

It is an amenable number.

257799093 is a deficient number, since it is larger than the sum of its proper divisors (86264907).

257799093 is a wasteful number, since it uses less digits than its factorization.

257799093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82971.

The product of its (nonzero) digits is 1071630, while the sum is 51.

The square root of 257799093 is about 16056.1232244898. The cubic root of 257799093 is about 636.4443885051. Note that the first 3 decimals are identical.

The spelling of 257799093 in words is "two hundred fifty-seven million, seven hundred ninety-nine thousand, ninety-three".