51213137 has 2 divisors, whose sum is σ = 51213138. Its totient is φ = 51213136.

The previous prime is 51213119. The next prime is 51213139. The reversal of 51213137 is 73131215.

51213137 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., 41075281 + 10137856 = 6409^2 + 3184^2 .

It is a cyclic number.

It is not a de Polignac number, because 51213137 - 2⁶ = 51213073 is a prime.

Together with 51213139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (51213139) 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, 25606568 + 25606569.

It is an arithmetic number, because the mean of its divisors is an integer number (25606569).

Almost surely, 2^51213137 is an apocalyptic number.

It is an amenable number.

51213137 is a deficient number, since it is larger than the sum of its proper divisors (1).

51213137 is an equidigital number, since it uses as much as digits as its factorization.

51213137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 630, while the sum is 23.

The square root of 51213137 is about 7156.3354449047. The cubic root of 51213137 is about 371.3588625943.

The spelling of 51213137 in words is "fifty-one million, two hundred thirteen thousand, one hundred thirty-seven".