51033137 has 2 divisors, whose sum is σ = 51033138. Its totient is φ = 51033136.

The previous prime is 51033119. The next prime is 51033187. The reversal of 51033137 is 73133015.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39137536 + 11895601 = 6256^2 + 3449^2 .

It is a cyclic number.

It is not a de Polignac number, because 51033137 - 2¹⁶ = 50967601 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (51033187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25516568 + 25516569.

It is an arithmetic number, because the mean of its divisors is an integer number (25516569).

Almost surely, 2^51033137 is an apocalyptic number.

It is an amenable number.

51033137 is a deficient number, since it is larger than the sum of its proper divisors (1).

51033137 is an equidigital number, since it uses as much as digits as its factorization.

51033137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 51033137 is about 7143.7481058615. The cubic root of 51033137 is about 370.9232773397.

The spelling of 51033137 in words is "fifty-one million, thirty-three thousand, one hundred thirty-seven".