1251262125 has 48 divisors (see below), whose sum is σ = 2281134960. Its totient is φ = 659788800.

The previous prime is 1251262097. The next prime is 1251262139. The reversal of 1251262125 is 5212621521.

1251262125 is a `hidden beast` number, since 1 + 2 + 5 + 12 + 621 + 25 = 666.

1251262125 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 586705284 + 664556841 = 24222^2 + 25779^2 .

It is not a de Polignac number, because 1251262125 - 2⁷ = 1251261997 is a prime.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 93877 + ... + 106373.

It is an arithmetic number, because the mean of its divisors is an integer number (47523645).

Almost surely, 2^1251262125 is an apocalyptic number.

1251262125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1251262125 is a deficient number, since it is larger than the sum of its proper divisors (1029872835).

1251262125 is a wasteful number, since it uses less digits than its factorization.

1251262125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12607 (or 12594 counting only the distinct ones).

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

The square root of 1251262125 is about 35373.1836989548. The cubic root of 1251262125 is about 1077.5797785114.

Adding to 1251262125 its reverse (5212621521), we get a palindrome (6463883646).

The spelling of 1251262125 in words is "one billion, two hundred fifty-one million, two hundred sixty-two thousand, one hundred twenty-five".