257125194 has 48 divisors (see below), whose sum is σ = 582140520. Its totient is φ = 81916800.

The previous prime is 257125177. The next prime is 257125201. The reversal of 257125194 is 491521752.

It can be written as a sum of positive squares in 4 ways, for example, as 246647025 + 10478169 = 15705^2 + 3237^2 .

It is a super-3 number, since 3×257125194³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50284 + ... + 55160.

Almost surely, 2^257125194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257125194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291070260).

257125194 is an abundant number, since it is smaller than the sum of its proper divisors (325015326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257125194 is a wasteful number, since it uses less digits than its factorization.

257125194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5012 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 257125194 is about 16035.1237600463. The cubic root of 257125194 is about 635.8893393560.

The spelling of 257125194 in words is "two hundred fifty-seven million, one hundred twenty-five thousand, one hundred ninety-four".