257343144100 has 81 divisors (see below), whose sum is σ = 649697272833. Its totient is φ = 88219760160.

The previous prime is 257343144053. The next prime is 257343144103. The reversal of 257343144100 is 1441343752.

The square root of 257343144100 is 507290.

It is a perfect power (a square), and thus also a powerful number.

257343144100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 92643531876 + 164699612224 = 304374^2 + 405832^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (257343144103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35506677 + ... + 35513923.

Almost surely, 2^257343144100 is an apocalyptic number.

257343144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

257343144100 is the 507290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257343144100

257343144100 is an abundant number, since it is smaller than the sum of its proper divisors (392354128733).

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

257343144100 is an frugal number, since it uses more digits than its factorization.

257343144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14522 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

Adding to 257343144100 its reverse (1441343752), we get a palindrome (258784487852).

The spelling of 257343144100 in words is "two hundred fifty-seven billion, three hundred forty-three million, one hundred forty-four thousand, one hundred".