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264527317541 is a prime number
BaseRepresentation
bin1111011001011100001…
…1101000101000100101
3221021210100211001101002
43312113003220220211
513313222443130131
6321304442243045
725053143046134
oct3662703505045
9837710731332
10264527317541
11a2204857a03
12433257b6485
131bc389c8b86
14cb35d5191b
156d333ae6cb
hex3d970e8a25

264527317541 has 2 divisors, whose sum is σ = 264527317542. Its totient is φ = 264527317540.

The previous prime is 264527317519. The next prime is 264527317567. The reversal of 264527317541 is 145713725462.

264527317541 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., 153621666916 + 110905650625 = 391946^2 + 333025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-264527317541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264527317591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132263658770 + 132263658771.

It is an arithmetic number, because the mean of its divisors is an integer number (132263658771).

Almost surely, 2264527317541 is an apocalyptic number.

It is an amenable number.

264527317541 is a deficient number, since it is larger than the sum of its proper divisors (1).

264527317541 is an equidigital number, since it uses as much as digits as its factorization.

264527317541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1411200, while the sum is 47.

The spelling of 264527317541 in words is "two hundred sixty-four billion, five hundred twenty-seven million, three hundred seventeen thousand, five hundred forty-one".