257241516138 has 48 divisors (see below), whose sum is σ = 566066960160. Its totient is φ = 84408892128.

The previous prime is 257241516107. The next prime is 257241516151. The reversal of 257241516138 is 831615142752.

257241516138 is a `hidden beast` number, since 2 + 5 + 7 + 24 + 1 + 5 + 1 + 613 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 257241516093 and 257241516102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1686456 + ... + 1832652.

It is an arithmetic number, because the mean of its divisors is an integer number (11793061670).

Almost surely, 2^257241516138 is an apocalyptic number.

257241516138 is an abundant number, since it is smaller than the sum of its proper divisors (308825444022).

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

257241516138 is a wasteful number, since it uses less digits than its factorization.

257241516138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147731 (or 147728 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 257241516138 in words is "two hundred fifty-seven billion, two hundred forty-one million, five hundred sixteen thousand, one hundred thirty-eight".