251146125 has 24 divisors (see below), whose sum is σ = 452734776. Its totient is φ = 133944000.

The previous prime is 251146111. The next prime is 251146139. The reversal of 251146125 is 521641152.

It is an interprime number because it is at equal distance from previous prime (251146111) and next prime (251146139).

It can be written as a sum of positive squares in 4 ways, for example, as 32046921 + 219099204 = 5661^2 + 14802^2 .

It is not a de Polignac number, because 251146125 - 2⁴ = 251146109 is a prime.

It is a super-2 number, since 2×251146125² = 126148752205031250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110496 + ... + 112745.

It is an arithmetic number, because the mean of its divisors is an integer number (18863949).

Almost surely, 2^251146125 is an apocalyptic number.

251146125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251146125 is a deficient number, since it is larger than the sum of its proper divisors (201588651).

251146125 is a wasteful number, since it uses less digits than its factorization.

251146125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223262 (or 223249 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 251146125 is about 15847.5905108632. The cubic root of 251146125 is about 630.9217422159.

Adding to 251146125 its reverse (521641152), we get a palindrome (772787277).

The spelling of 251146125 in words is "two hundred fifty-one million, one hundred forty-six thousand, one hundred twenty-five".