257102727073 has 8 divisors (see below), whose sum is σ = 258964655040. Its totient is φ = 255240974640.

The previous prime is 257102727071. The next prime is 257102727121. The reversal of 257102727073 is 370727201752.

257102727073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 257102727073 - 2¹ = 257102727071 is a prime.

It is a super-2 number, since 2×257102727073² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257102727071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4901043 + ... + 4953223.

It is an arithmetic number, because the mean of its divisors is an integer number (32370581880).

Almost surely, 2^257102727073 is an apocalyptic number.

It is an amenable number.

257102727073 is a deficient number, since it is larger than the sum of its proper divisors (1861927967).

257102727073 is a wasteful number, since it uses less digits than its factorization.

257102727073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87767.

The product of its (nonzero) digits is 288120, while the sum is 43.

The spelling of 257102727073 in words is "two hundred fifty-seven billion, one hundred two million, seven hundred twenty-seven thousand, seventy-three".