257040161365761 has 12 divisors (see below), whose sum is σ = 371280441783888. Its totient is φ = 171360011254104.

The previous prime is 257040161365711. The next prime is 257040161365847. The reversal of 257040161365761 is 167563161040752.

257040161365761 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 4 + 0 + 1 + 61 + 3 + 6 + 576 + 1 = 666.

257040161365761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257040161365761 - 2⁴⁶ = 186671417188097 is a prime.

It is a super-3 number, since 3×257040161365761³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257040161365698 and 257040161365707.

It is not an unprimeable number, because it can be changed into a prime (257040161365711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11330686 + ... + 25346888.

It is an arithmetic number, because the mean of its divisors is an integer number (30940036815324).

Almost surely, 2^{257040161365761} is an apocalyptic number.

It is an amenable number.

257040161365761 is a deficient number, since it is larger than the sum of its proper divisors (114240280418127).

257040161365761 is a wasteful number, since it uses less digits than its factorization.

257040161365761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16053852 (or 16053849 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 257040161365761 in words is "two hundred fifty-seven trillion, forty billion, one hundred sixty-one million, three hundred sixty-five thousand, seven hundred sixty-one".