257125112741 has 16 divisors (see below), whose sum is σ = 294503491200. Its totient is φ = 219908763648.

The previous prime is 257125112687. The next prime is 257125112747. The reversal of 257125112741 is 147211521752.

It is not a de Polignac number, because 257125112741 - 2¹⁰ = 257125111717 is a prime.

It is a super-2 number, since 2×257125112741² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257125112695 and 257125112704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257125112747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6854645 + ... + 6892053.

It is an arithmetic number, because the mean of its divisors is an integer number (18406468200).

Almost surely, 2^257125112741 is an apocalyptic number.

It is an amenable number.

257125112741 is a deficient number, since it is larger than the sum of its proper divisors (37378378459).

257125112741 is a wasteful number, since it uses less digits than its factorization.

257125112741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39548.

The product of its digits is 39200, while the sum is 38.

The spelling of 257125112741 in words is "two hundred fifty-seven billion, one hundred twenty-five million, one hundred twelve thousand, seven hundred forty-one".