112825251 has 32 divisors (see below), whose sum is σ = 208396800. Its totient is φ = 58609440.

The previous prime is 112825201. The next prime is 112825267. The reversal of 112825251 is 152528211.

It is a happy number.

It is not a de Polignac number, because 112825251 - 2⁷ = 112825123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112825201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25056 + ... + 29213.

It is an arithmetic number, because the mean of its divisors is an integer number (6512400).

Almost surely, 2^112825251 is an apocalyptic number.

112825251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112825251 is a deficient number, since it is larger than the sum of its proper divisors (95571549).

112825251 is a wasteful number, since it uses less digits than its factorization.

112825251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54296 (or 54290 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 112825251 is about 10621.9231309589. The cubic root of 112825251 is about 483.2094689601.

The spelling of 112825251 in words is "one hundred twelve million, eight hundred twenty-five thousand, two hundred fifty-one".