257051772341 has 16 divisors (see below), whose sum is σ = 321557835648. Its totient is φ = 200047492800.

The previous prime is 257051772283. The next prime is 257051772371. The reversal of 257051772341 is 143277150752.

It is a cyclic number.

It is not a de Polignac number, because 257051772341 - 2⁶ = 257051772277 is a prime.

It is a super-2 number, since 2×257051772341² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257051772292 and 257051772301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257051772371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23148095 + ... + 23159196.

It is an arithmetic number, because the mean of its divisors is an integer number (20097364728).

Almost surely, 2^257051772341 is an apocalyptic number.

It is an amenable number.

257051772341 is a deficient number, since it is larger than the sum of its proper divisors (64506063307).

257051772341 is a wasteful number, since it uses less digits than its factorization.

257051772341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46307372.

The product of its (nonzero) digits is 411600, while the sum is 44.

The spelling of 257051772341 in words is "two hundred fifty-seven billion, fifty-one million, seven hundred seventy-two thousand, three hundred forty-one".