257740544325 has 48 divisors (see below), whose sum is σ = 472491133632. Its totient is φ = 122916480000.

The previous prime is 257740544323. The next prime is 257740544353. The reversal of 257740544325 is 523445047752.

It is not a de Polignac number, because 257740544325 - 2¹ = 257740544323 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257740544323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2510436 + ... + 2611085.

It is an arithmetic number, because the mean of its divisors is an integer number (9843565284).

Almost surely, 2^257740544325 is an apocalyptic number.

257740544325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257740544325 is a deficient number, since it is larger than the sum of its proper divisors (214750589307).

257740544325 is a wasteful number, since it uses less digits than its factorization.

257740544325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121606 (or 5121601 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 48.

The spelling of 257740544325 in words is "two hundred fifty-seven billion, seven hundred forty million, five hundred forty-four thousand, three hundred twenty-five".