851252401 has 2 divisors, whose sum is σ = 851252402. Its totient is φ = 851252400.

The previous prime is 851252387. The next prime is 851252411. The reversal of 851252401 is 104252158.

851252401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 848207376 + 3045025 = 29124^2 + 1745^2 .

It is a cyclic number.

It is not a de Polignac number, because 851252401 - 2¹³ = 851244209 is a prime.

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 851252401.

It is not a weakly prime, because it can be changed into another prime (851252411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 425626200 + 425626201.

It is an arithmetic number, because the mean of its divisors is an integer number (425626201).

Almost surely, 2^851252401 is an apocalyptic number.

It is an amenable number.

851252401 is a deficient number, since it is larger than the sum of its proper divisors (1).

851252401 is an equidigital number, since it uses as much as digits as its factorization.

851252401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 851252401 is about 29176.2300683279. The cubic root of 851252401 is about 947.7332479695.

The spelling of 851252401 in words is "eight hundred fifty-one million, two hundred fifty-two thousand, four hundred one".