257523222534273 has 80 divisors (see below), whose sum is σ = 400565652730320. Its totient is φ = 164737707724800.

The previous prime is 257523222534271. The next prime is 257523222534299. The reversal of 257523222534273 is 372435222325752.

257523222534273 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 2 + 3 + 2 + 225 + 342 + 73 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 173681217519489 + 83842005014784 = 13178817^2 + 9156528^2 .

It is not a de Polignac number, because 257523222534273 - 2¹ = 257523222534271 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257523222534271) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3775467993 + ... + 3775536201.

It is an arithmetic number, because the mean of its divisors is an integer number (5007070659129).

Almost surely, 2^{257523222534273} is an apocalyptic number.

It is an amenable number.

257523222534273 is a deficient number, since it is larger than the sum of its proper divisors (143042430196047).

257523222534273 is a wasteful number, since it uses less digits than its factorization.

257523222534273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86960 (or 86951 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 54.

The spelling of 257523222534273 in words is "two hundred fifty-seven trillion, five hundred twenty-three billion, two hundred twenty-two million, five hundred thirty-four thousand, two hundred seventy-three".