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61330567829 is a prime number
BaseRepresentation
bin111001000111100101…
…100011001010010101
312212022020021122200012
4321013211203022111
52001101111132304
644101434530005
74300554140126
oct710745431225
9185266248605
1061330567829
11240125633a3
12ba77596905
135a2530872b
142d7b49004d
1518de48016e
hexe47963295

61330567829 has 2 divisors, whose sum is σ = 61330567830. Its totient is φ = 61330567828.

The previous prime is 61330567747. The next prime is 61330567889. The reversal of 61330567829 is 92876503316.

61330567829 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., 32668755025 + 28661812804 = 180745^2 + 169298^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61330567829 is a prime.

It is a super-2 number, since 2×613305678292 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61330567889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30665283914 + 30665283915.

It is an arithmetic number, because the mean of its divisors is an integer number (30665283915).

Almost surely, 261330567829 is an apocalyptic number.

It is an amenable number.

61330567829 is a deficient number, since it is larger than the sum of its proper divisors (1).

61330567829 is an equidigital number, since it uses as much as digits as its factorization.

61330567829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 61330567829 in words is "sixty-one billion, three hundred thirty million, five hundred sixty-seven thousand, eight hundred twenty-nine".