257710007238101 has 16 divisors (see below), whose sum is σ = 298700683637760. Its totient is φ = 219876892084080.

The previous prime is 257710007238053. The next prime is 257710007238191. The reversal of 257710007238101 is 101832700017752.

It is not a de Polignac number, because 257710007238101 - 2²² = 257710003043797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257710007238191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5761950701 + ... + 5761995426.

It is an arithmetic number, because the mean of its divisors is an integer number (18668792727360).

Almost surely, 2^{257710007238101} is an apocalyptic number.

It is an amenable number.

257710007238101 is a deficient number, since it is larger than the sum of its proper divisors (40990676399659).

257710007238101 is a wasteful number, since it uses less digits than its factorization.

257710007238101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11523946264.

The product of its (nonzero) digits is 164640, while the sum is 44.

The spelling of 257710007238101 in words is "two hundred fifty-seven trillion, seven hundred ten billion, seven million, two hundred thirty-eight thousand, one hundred one".