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51077933 is a prime number
BaseRepresentation
bin1100001011011…
…0001100101101
310120010000202022
43002312030231
5101033443213
65022435525
71160104154
oct302661455
9116100668
1051077933
1126917675
1215132ba5
13a774c3a
146ad859b
15473e308
hex30b632d

51077933 has 2 divisors, whose sum is σ = 51077934. Its totient is φ = 51077932.

The previous prime is 51077899. The next prime is 51077953. The reversal of 51077933 is 33977015.

51077933 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., 31832164 + 19245769 = 5642^2 + 4387^2 .

It is a cyclic number.

It is not a de Polignac number, because 51077933 - 26 = 51077869 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 51077893 and 51077902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51077953) 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, 25538966 + 25538967.

It is an arithmetic number, because the mean of its divisors is an integer number (25538967).

Almost surely, 251077933 is an apocalyptic number.

It is an amenable number.

51077933 is a deficient number, since it is larger than the sum of its proper divisors (1).

51077933 is an equidigital number, since it uses as much as digits as its factorization.

51077933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19845, while the sum is 35.

The square root of 51077933 is about 7146.8827470443. The cubic root of 51077933 is about 371.0317756003.

The spelling of 51077933 in words is "fifty-one million, seventy-seven thousand, nine hundred thirty-three".