257037846121 has 81 divisors (see below), whose sum is σ = 324198181629. Its totient is φ = 203176855728.

The previous prime is 257037846089. The next prime is 257037846139. The reversal of 257037846121 is 121648730752.

The square root of 257037846121 is 506989.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 257037846121 - 2⁵ = 257037846089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257037846161) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3836385730 + ... + 3836385796.

Almost surely, 2^257037846121 is an apocalyptic number.

257037846121 is the 506989-th square number.

257037846121 is the 253495-th centered octagonal number.

It is an amenable number.

257037846121 is a deficient number, since it is larger than the sum of its proper divisors (67160335508).

257037846121 is an frugal number, since it uses more digits than its factorization.

257037846121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 257037846121 in words is "two hundred fifty-seven billion, thirty-seven million, eight hundred forty-six thousand, one hundred twenty-one".