51006267 has 40 divisors (see below), whose sum is σ = 83548080. Its totient is φ = 30818880.

The previous prime is 51006217. The next prime is 51006289. The reversal of 51006267 is 76260015.

51006267 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51006267 - 2¹⁵ = 50973499 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51006267.

It is not an unprimeable number, because it can be changed into a prime (51006217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61717 + ... + 62537.

It is an arithmetic number, because the mean of its divisors is an integer number (2088702).

Almost surely, 2^51006267 is an apocalyptic number.

51006267 is a deficient number, since it is larger than the sum of its proper divisors (32541813).

51006267 is a wasteful number, since it uses less digits than its factorization.

51006267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 51006267 is about 7141.8671928285. The cubic root of 51006267 is about 370.8581663237.

The spelling of 51006267 in words is "fifty-one million, six thousand, two hundred sixty-seven".