51106633 has 2 divisors, whose sum is σ = 51106634. Its totient is φ = 51106632.

The previous prime is 51106609. The next prime is 51106639. The reversal of 51106633 is 33660115.

51106633 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., 49730704 + 1375929 = 7052^2 + 1173^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51106633 is a prime.

It is a super-2 number, since 2×51106633² = 5223775873193378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51106598 and 51106607.

It is not a weakly prime, because it can be changed into another prime (51106639) 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 as a sum of consecutive naturals, namely, 25553316 + 25553317.

It is an arithmetic number, because the mean of its divisors is an integer number (25553317).

Almost surely, 2^51106633 is an apocalyptic number.

It is an amenable number.

51106633 is a deficient number, since it is larger than the sum of its proper divisors (1).

51106633 is an equidigital number, since it uses as much as digits as its factorization.

51106633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 51106633 is about 7148.8903334713. The cubic root of 51106633 is about 371.1012551682.

Adding to 51106633 its reverse (33660115), we get a palindrome (84766748).

The spelling of 51106633 in words is "fifty-one million, one hundred six thousand, six hundred thirty-three".