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61167837161 is a prime number
BaseRepresentation
bin111000111101111000…
…110001111111101001
312211212220002002011102
4320331320301333221
52000232431242121
644033343011145
74263540015524
oct707570617751
9184786062142
1061167837161
1123a39716442
12ba30b99ab5
1359ca6a00b2
142d63a0dbbb
1518d003890b
hexe3de31fe9

61167837161 has 2 divisors, whose sum is σ = 61167837162. Its totient is φ = 61167837160.

The previous prime is 61167837113. The next prime is 61167837179. The reversal of 61167837161 is 16173876116.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58469658025 + 2698179136 = 241805^2 + 51944^2 .

It is a cyclic number.

It is not a de Polignac number, because 61167837161 - 26 = 61167837097 is a prime.

It is a super-2 number, since 2×611678371612 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61167837361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30583918580 + 30583918581.

It is an arithmetic number, because the mean of its divisors is an integer number (30583918581).

Almost surely, 261167837161 is an apocalyptic number.

It is an amenable number.

61167837161 is a deficient number, since it is larger than the sum of its proper divisors (1).

61167837161 is an equidigital number, since it uses as much as digits as its factorization.

61167837161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 254016, while the sum is 47.

The spelling of 61167837161 in words is "sixty-one billion, one hundred sixty-seven million, eight hundred thirty-seven thousand, one hundred sixty-one".