251142125 has 32 divisors (see below), whose sum is σ = 346740576. Its totient is φ = 180403200.

The previous prime is 251142121. The next prime is 251142163. The reversal of 251142125 is 521241152.

It can be written as a sum of positive squares in 16 ways, for example, as 107453956 + 143688169 = 10366^2 + 11987^2 .

It is not a de Polignac number, because 251142125 - 2² = 251142121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 251142125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251142121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58037 + ... + 62213.

It is an arithmetic number, because the mean of its divisors is an integer number (10835643).

Almost surely, 2^251142125 is an apocalyptic number.

251142125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251142125 is a deficient number, since it is larger than the sum of its proper divisors (95598451).

251142125 is a wasteful number, since it uses less digits than its factorization.

251142125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4232 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 251142125 is about 15847.4643082103. The cubic root of 251142125 is about 630.9183926382.

Adding to 251142125 its reverse (521241152), we get a palindrome (772383277).

The spelling of 251142125 in words is "two hundred fifty-one million, one hundred forty-two thousand, one hundred twenty-five".