257550804993 has 8 divisors (see below), whose sum is σ = 343761414048. Its totient is φ = 171520366304.

The previous prime is 257550804977. The next prime is 257550805033. The reversal of 257550804993 is 399408055752.

It is a happy number.

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 257550804993 - 2⁴ = 257550804977 is a prime.

It is a super-3 number, since 3×257550804993³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (257550804943) 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, 45039255 + ... + 45044972.

It is an arithmetic number, because the mean of its divisors is an integer number (42970176756).

Almost surely, 2^257550804993 is an apocalyptic number.

It is an amenable number.

257550804993 is a deficient number, since it is larger than the sum of its proper divisors (86210609055).

257550804993 is an equidigital number, since it uses as much as digits as its factorization.

257550804993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90085183.

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 257550804993 in words is "two hundred fifty-seven billion, five hundred fifty million, eight hundred four thousand, nine hundred ninety-three".