257141982002031 has 24 divisors (see below), whose sum is σ = 424568398625280. Its totient is φ = 146910566720016.

The previous prime is 257141982001973. The next prime is 257141982002051. The reversal of 257141982002031 is 130200289141752.

257141982002031 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 419 + 8 + 20 + 0 + 203 + 1 = 666.

It is not a de Polignac number, because 257141982002031 - 2¹⁵ = 257141981969263 is a prime.

It is a super-2 number, since 2×257141982002031² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257141982002051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384506451 + ... + 385174628.

It is an arithmetic number, because the mean of its divisors is an integer number (17690349942720).

Almost surely, 2^{257141982002031} is an apocalyptic number.

257141982002031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

257141982002031 is a deficient number, since it is larger than the sum of its proper divisors (167426416623249).

257141982002031 is a wasteful number, since it uses less digits than its factorization.

257141982002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769686395 (or 769686392 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 257141982002031 in words is "two hundred fifty-seven trillion, one hundred forty-one billion, nine hundred eighty-two million, two thousand, thirty-one".