257139773125 has 10 divisors (see below), whose sum is σ = 321321861278. Its totient is φ = 205711818000.

The previous prime is 257139773063. The next prime is 257139773129. The reversal of 257139773125 is 521377931752.

It can be written as a sum of positive squares in 5 ways, for example, as 91159309476 + 165980463649 = 301926^2 + 407407^2 .

It is not a de Polignac number, because 257139773125 - 2³¹ = 254992289477 is a prime.

It is a super-2 number, since 2×257139773125² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257139773129) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 205711194 + ... + 205712443.

Almost surely, 2^257139773125 is an apocalyptic number.

257139773125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257139773125 is a deficient number, since it is larger than the sum of its proper divisors (64182088153).

257139773125 is an frugal number, since it uses more digits than its factorization.

257139773125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411423657 (or 411423642 counting only the distinct ones).

The product of its digits is 2778300, while the sum is 52.

The spelling of 257139773125 in words is "two hundred fifty-seven billion, one hundred thirty-nine million, seven hundred seventy-three thousand, one hundred twenty-five".