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535364004001 is a prime number
BaseRepresentation
bin1111100101001100010…
…11100110100010100001
31220011212102211020210111
413302212023212202201
532232411141112001
61045535352331321
753451550644001
oct7624613464241
91804772736714
10535364004001
11197057029092
12879103a3b41
133b63b8bbb28
141bca9c04001
15ddd5616851
hex7ca62e68a1

535364004001 has 2 divisors, whose sum is σ = 535364004002. Its totient is φ = 535364004000.

The previous prime is 535364003987. The next prime is 535364004053. The reversal of 535364004001 is 100400463535.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 533190579601 + 2173424400 = 730199^2 + 46620^2 .

It is a cyclic number.

It is not a de Polignac number, because 535364004001 - 27 = 535364003873 is a prime.

It is a super-2 number, since 2×5353640040012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (535364904001) 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, 267682002000 + 267682002001.

It is an arithmetic number, because the mean of its divisors is an integer number (267682002001).

Almost surely, 2535364004001 is an apocalyptic number.

It is an amenable number.

535364004001 is a deficient number, since it is larger than the sum of its proper divisors (1).

535364004001 is an equidigital number, since it uses as much as digits as its factorization.

535364004001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 535364004001 its reverse (100400463535), we get a palindrome (635764467536).

The spelling of 535364004001 in words is "five hundred thirty-five billion, three hundred sixty-four million, four thousand, one".