257553305325 has 18 divisors (see below), whose sum is σ = 461306587274. Its totient is φ = 137361762720.

The previous prime is 257553305257. The next prime is 257553305411. The reversal of 257553305325 is 523503355752.

257553305325 is a `hidden beast` number, since 2 + 575 + 5 + 3 + 3 + 0 + 53 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17486624169 + 240066681156 = 132237^2 + 489966^2 .

It is not a de Polignac number, because 257553305325 - 2¹¹ = 257553303277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 572340454 + ... + 572340903.

Almost surely, 2^257553305325 is an apocalyptic number.

257553305325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257553305325 is a deficient number, since it is larger than the sum of its proper divisors (203753281949).

257553305325 is a wasteful number, since it uses less digits than its factorization.

257553305325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144681373 (or 1144681365 counting only the distinct ones).

The product of its (nonzero) digits is 2362500, while the sum is 45.

The spelling of 257553305325 in words is "two hundred fifty-seven billion, five hundred fifty-three million, three hundred five thousand, three hundred twenty-five".