257147321125 has 32 divisors (see below), whose sum is σ = 331354183680. Its totient is φ = 199032480000.

The previous prime is 257147321071. The next prime is 257147321129. The reversal of 257147321125 is 521123741752.

It is a happy number.

It is not a de Polignac number, because 257147321125 - 2⁹ = 257147320613 is a prime.

It is a super-2 number, since 2×257147321125² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257147321129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27589216 + ... + 27598534.

It is an arithmetic number, because the mean of its divisors is an integer number (10354818240).

Almost surely, 2^257147321125 is an apocalyptic number.

257147321125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257147321125 is a deficient number, since it is larger than the sum of its proper divisors (74206862555).

257147321125 is an equidigital number, since it uses as much as digits as its factorization.

257147321125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16486 (or 16476 counting only the distinct ones).

The product of its digits is 117600, while the sum is 40.

The spelling of 257147321125 in words is "two hundred fifty-seven billion, one hundred forty-seven million, three hundred twenty-one thousand, one hundred twenty-five".