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51132822049 is a prime number
BaseRepresentation
bin101111100111110000…
…001111001000100001
311212222112102111100001
4233213300033020201
51314210000301144
635253505500001
73460055546641
oct574760171041
9155875374301
1051132822049
111a75a166021
129ab0341601
134a8b67302a
142690d74521
1514e4060bd4
hexbe7c0f221

51132822049 has 2 divisors, whose sum is σ = 51132822050. Its totient is φ = 51132822048.

The previous prime is 51132822047. The next prime is 51132822053. The reversal of 51132822049 is 94022823115.

51132822049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49985780625 + 1147041424 = 223575^2 + 33868^2 .

It is a cyclic number.

It is not a de Polignac number, because 51132822049 - 21 = 51132822047 is a prime.

It is a super-2 number, since 2×511328220492 (a number of 22 digits) contains 22 as substring.

Together with 51132822047, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 51132821999 and 51132822017.

It is not a weakly prime, because it can be changed into another prime (51132822047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25566411024 + 25566411025.

It is an arithmetic number, because the mean of its divisors is an integer number (25566411025).

Almost surely, 251132822049 is an apocalyptic number.

It is an amenable number.

51132822049 is a deficient number, since it is larger than the sum of its proper divisors (1).

51132822049 is an equidigital number, since it uses as much as digits as its factorization.

51132822049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 37.

It can be divided in two parts, 51132 and 822049, that added together give a triangular number (873181 = T1321).

The spelling of 51132822049 in words is "fifty-one billion, one hundred thirty-two million, eight hundred twenty-two thousand, forty-nine".