257317032200 has 36 divisors (see below), whose sum is σ = 598278779415. Its totient is φ = 102923943360.

The previous prime is 257317032163. The next prime is 257317032233. The reversal of 257317032200 is 2230713752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 206593884676 + 50723147524 = 454526^2 + 225218^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=358690.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7155866 + ... + 7191734.

Almost surely, 2^257317032200 is an apocalyptic number.

257317032200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257317032200 is an abundant number, since it is smaller than the sum of its proper divisors (340961747215).

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

257317032200 is an frugal number, since it uses more digits than its factorization.

257317032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71754 (or 35876 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

Multiplying 257317032200 by its sum of digits (32), we get a square (8234145030400 = 2869520²).

Adding to 257317032200 its reverse (2230713752), we get a palindrome (259547745952).

The spelling of 257317032200 in words is "two hundred fifty-seven billion, three hundred seventeen million, thirty-two thousand, two hundred".