120825251 has 2 divisors, whose sum is σ = 120825252. Its totient is φ = 120825250.

The previous prime is 120825241. The next prime is 120825253. The reversal of 120825251 is 152528021.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 120825251 - 2¹⁰ = 120824227 is a prime.

Together with 120825253, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120825251.

It is not a weakly prime, because it can be changed into another prime (120825253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60412625 + 60412626.

It is an arithmetic number, because the mean of its divisors is an integer number (60412626).

Almost surely, 2^120825251 is an apocalyptic number.

120825251 is the 5876-th centered heptagonal number.

120825251 is a deficient number, since it is larger than the sum of its proper divisors (1).

120825251 is an equidigital number, since it uses as much as digits as its factorization.

120825251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 120825251 is about 10992.0539936811. The cubic root of 120825251 is about 494.3705238686.

The spelling of 120825251 in words is "one hundred twenty million, eight hundred twenty-five thousand, two hundred fifty-one".