51007337 has 2 divisors, whose sum is σ = 51007338. Its totient is φ = 51007336.

The previous prime is 51007291. The next prime is 51007357. The reversal of 51007337 is 73370015.

51007337 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., 50993881 + 13456 = 7141^2 + 116^2 .

It is a cyclic number.

It is not a de Polignac number, because 51007337 - 2¹² = 51003241 is a prime.

It is a Chen prime.

It is equal to p_3057902 and since 51007337 and 3057902 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (51007357) 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, 25503668 + 25503669.

It is an arithmetic number, because the mean of its divisors is an integer number (25503669).

Almost surely, 2^51007337 is an apocalyptic number.

It is an amenable number.

51007337 is a deficient number, since it is larger than the sum of its proper divisors (1).

51007337 is an equidigital number, since it uses as much as digits as its factorization.

51007337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205, while the sum is 26.

The square root of 51007337 is about 7141.9421028177. The cubic root of 51007337 is about 370.8607595701.

The spelling of 51007337 in words is "fifty-one million, seven thousand, three hundred thirty-seven".