257384655409 has 32 divisors (see below), whose sum is σ = 316488487680. Its totient is φ = 204403709952.

The previous prime is 257384655403. The next prime is 257384655413. The reversal of 257384655409 is 904556483752.

It is a cyclic number.

It is not a de Polignac number, because 257384655409 - 2⁵ = 257384655377 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257384655403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2148009 + ... + 2264665.

It is an arithmetic number, because the mean of its divisors is an integer number (9890265240).

Almost surely, 2^257384655409 is an apocalyptic number.

It is an amenable number.

257384655409 is a deficient number, since it is larger than the sum of its proper divisors (59103832271).

257384655409 is a wasteful number, since it uses less digits than its factorization.

257384655409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117049.

The product of its (nonzero) digits is 36288000, while the sum is 58.

The spelling of 257384655409 in words is "two hundred fifty-seven billion, three hundred eighty-four million, six hundred fifty-five thousand, four hundred nine".