1257112117521 has 96 divisors (see below), whose sum is σ = 2164927564800. Its totient is φ = 695865530880.

The previous prime is 1257112117493. The next prime is 1257112117577.

1257112117521 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 1 + 12 + 117 + 521 = 666.

1257112117521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1257112117521 - 2³⁴ = 1239932248337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1257112110521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3480295 + ... + 3824483.

It is an arithmetic number, because the mean of its divisors is an integer number (22551328800).

Almost surely, 2^{1257112117521} is an apocalyptic number.

It is an amenable number.

1257112117521 is a deficient number, since it is larger than the sum of its proper divisors (907815447279).

1257112117521 is a wasteful number, since it uses less digits than its factorization.

1257112117521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344311 (or 344308 counting only the distinct ones).

The product of its digits is 9800, while the sum is 36.

The spelling of 1257112117521 in words is "one trillion, two hundred fifty-seven billion, one hundred twelve million, one hundred seventeen thousand, five hundred twenty-one".