257111080753 has 4 divisors (see below), whose sum is σ = 257988593268. Its totient is φ = 256233568240.

The previous prime is 257111080747. The next prime is 257111080777. The reversal of 257111080753 is 357080111752.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 226659783744 + 30451297009 = 476088^2 + 174503^2 .

It is a cyclic number.

It is not a de Polignac number, because 257111080753 - 2³³ = 248521146161 is a prime.

It is a super-3 number, since 3×257111080753³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257111080703) 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, 438755818 + ... + 438756403.

It is an arithmetic number, because the mean of its divisors is an integer number (64497148317).

Almost surely, 2^257111080753 is an apocalyptic number.

It is an amenable number.

257111080753 is a deficient number, since it is larger than the sum of its proper divisors (877512515).

257111080753 is an equidigital number, since it uses as much as digits as its factorization.

257111080753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877512514.

The product of its (nonzero) digits is 58800, while the sum is 40.

The spelling of 257111080753 in words is "two hundred fifty-seven billion, one hundred eleven million, eighty thousand, seven hundred fifty-three".