257523222584268 has 36 divisors (see below), whose sum is σ = 650964046813080. Its totient is φ = 85840735622976.

The previous prime is 257523222584267. The next prime is 257523222584279. The reversal of 257523222584268 is 862485222325752.

257523222584268 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 2 + 3 + 2 + 22 + 584 + 26 + 8 = 666.

257523222584268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×257523222584268² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257523222584267) 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, 4768305 + ... + 23190152.

Almost surely, 2^{257523222584268} is an apocalyptic number.

It is an amenable number.

257523222584268 is an abundant number, since it is smaller than the sum of its proper divisors (393440824228812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257523222584268 is a wasteful number, since it uses less digits than its factorization.

257523222584268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28214326 (or 28214321 counting only the distinct ones).

The product of its digits is 258048000, while the sum is 63.

The spelling of 257523222584268 in words is "two hundred fifty-seven trillion, five hundred twenty-three billion, two hundred twenty-two million, five hundred eighty-four thousand, two hundred sixty-eight".