257323141130 has 48 divisors (see below), whose sum is σ = 522877035240. Its totient is φ = 91043061120.

The previous prime is 257323141079. The next prime is 257323141169. The reversal of 257323141130 is 31141323752.

257323141130 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 4 ways, for example, as 211628520961 + 45694620169 = 460031^2 + 213763^2 .

It is a super-2 number, since 2×257323141130² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2829065 + ... + 2918604.

Almost surely, 2^257323141130 is an apocalyptic number.

257323141130 is an abundant number, since it is smaller than the sum of its proper divisors (265553894110).

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

257323141130 is a wasteful number, since it uses less digits than its factorization.

257323141130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747735 (or 5747724 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 257323141130 its reverse (31141323752), we get a palindrome (288464464882).

The spelling of 257323141130 in words is "two hundred fifty-seven billion, three hundred twenty-three million, one hundred forty-one thousand, one hundred thirty".