257497513221378 has 192 divisors, whose sum is σ = 599729589043200. Its totient is φ = 73170558973440.

The previous prime is 257497513221343. The next prime is 257497513221407. The reversal of 257497513221378 is 873122315794752.

257497513221378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 413566263 + ... + 414188421.

It is an arithmetic number, because the mean of its divisors is an integer number (3123591609600).

Almost surely, 2^{257497513221378} is an apocalyptic number.

257497513221378 is an abundant number, since it is smaller than the sum of its proper divisors (342232075821822).

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

257497513221378 is a wasteful number, since it uses less digits than its factorization.

257497513221378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622397 (or 622314 counting only the distinct ones).

The product of its digits is 177811200, while the sum is 66.

The spelling of 257497513221378 in words is "two hundred fifty-seven trillion, four hundred ninety-seven billion, five hundred thirteen million, two hundred twenty-one thousand, three hundred seventy-eight".