Search a number
-
+
77522507275273 is a prime number
BaseRepresentation
bin10001101000000110011101…
…100000100001110000001001
3101011111002010211012111202021
4101220012131200201300021
540130112043330302043
6432513203113204441
722220546666326144
oct2150063540416011
9334432124174667
1077522507275273
1122779124392a05
12884046aa00721
133434458433758
14152017618d05b
158e6811c5a3ed
hex46819d821c09

77522507275273 has 2 divisors, whose sum is σ = 77522507275274. Its totient is φ = 77522507275272.

The previous prime is 77522507275253. The next prime is 77522507275289. The reversal of 77522507275273 is 37257270522577.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70040378594169 + 7482128681104 = 8369013^2 + 2735348^2 .

It is a cyclic number.

It is not a de Polignac number, because 77522507275273 - 225 = 77522473720841 is a prime.

It is not a weakly prime, because it can be changed into another prime (77522507275253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38761253637636 + 38761253637637.

It is an arithmetic number, because the mean of its divisors is an integer number (38761253637637).

Almost surely, 277522507275273 is an apocalyptic number.

It is an amenable number.

77522507275273 is a deficient number, since it is larger than the sum of its proper divisors (1).

77522507275273 is an equidigital number, since it uses as much as digits as its factorization.

77522507275273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100842000, while the sum is 61.

The spelling of 77522507275273 in words is "seventy-seven trillion, five hundred twenty-two billion, five hundred seven million, two hundred seventy-five thousand, two hundred seventy-three".