257147538 has 8 divisors (see below), whose sum is σ = 514295088. Its totient is φ = 85715844.

The previous prime is 257147533. The next prime is 257147543. The reversal of 257147538 is 835741752.

257147538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257147533) and next prime (257147543).

It is a sphenic number, since it is the product of 3 distinct primes.

257147538 is an admirable number.

It is a super-2 number, since 2×257147538² = 132249712598922888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257147538.

It is not an unprimeable number, because it can be changed into a prime (257147533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21428956 + ... + 21428967.

It is an arithmetic number, because the mean of its divisors is an integer number (64286886).

Almost surely, 2^257147538 is an apocalyptic number.

257147538 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

257147538 is a wasteful number, since it uses less digits than its factorization.

257147538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42857928.

The product of its digits is 235200, while the sum is 42.

The square root of 257147538 is about 16035.8204654455. The cubic root of 257147538 is about 635.9077582691.

The spelling of 257147538 in words is "two hundred fifty-seven million, one hundred forty-seven thousand, five hundred thirty-eight".