257400090097 has 8 divisors (see below), whose sum is σ = 270952904160. Its totient is φ = 243847820160.

The previous prime is 257400090053. The next prime is 257400090113. The reversal of 257400090097 is 790090004752.

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

It is a cyclic number.

It is not a de Polignac number, because 257400090097 - 2¹⁵ = 257400057329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257400096097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143822 + ... + 1350232.

It is an arithmetic number, because the mean of its divisors is an integer number (33869113020).

Almost surely, 2^257400090097 is an apocalyptic number.

It is an amenable number.

257400090097 is a deficient number, since it is larger than the sum of its proper divisors (13552814063).

257400090097 is a wasteful number, since it uses less digits than its factorization.

257400090097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272063.

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 257400090097 in words is "two hundred fifty-seven billion, four hundred million, ninety thousand, ninety-seven".