257409128801 has 4 divisors (see below), whose sum is σ = 280809958704. Its totient is φ = 234008298900.

The previous prime is 257409128791. The next prime is 257409128807. The reversal of 257409128801 is 108821904752.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 257409128801 - 2¹⁰ = 257409127777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257409128807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11700414935 + ... + 11700414956.

It is an arithmetic number, because the mean of its divisors is an integer number (70202489676).

Almost surely, 2^257409128801 is an apocalyptic number.

It is an amenable number.

257409128801 is a deficient number, since it is larger than the sum of its proper divisors (23400829903).

257409128801 is a wasteful number, since it uses less digits than its factorization.

257409128801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23400829902.

The product of its (nonzero) digits is 322560, while the sum is 47.

The spelling of 257409128801 in words is "two hundred fifty-seven billion, four hundred nine million, one hundred twenty-eight thousand, eight hundred one".