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2135305265153 is a prime number
BaseRepresentation
bin11111000100101010000…
…111001010000000000001
321120010121002120111012212
4133010222013022000001
5234441101121441103
64312540134231505
7310161566165534
oct37045207120001
97503532514185
102135305265153
1175363a178175
122a5a054b5595
131264875b9c48
14754c67a0a1b
153a8269967d8
hex1f12a1ca001

2135305265153 has 2 divisors, whose sum is σ = 2135305265154. Its totient is φ = 2135305265152.

The previous prime is 2135305265147. The next prime is 2135305265201. The reversal of 2135305265153 is 3515625035312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2072237983729 + 63067281424 = 1439527^2 + 251132^2 .

It is a cyclic number.

It is not a de Polignac number, because 2135305265153 - 26 = 2135305265089 is a prime.

It is a super-2 number, since 2×21353052651532 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2135305265153.

It is not a weakly prime, because it can be changed into another prime (2135305265953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1067652632576 + 1067652632577.

It is an arithmetic number, because the mean of its divisors is an integer number (1067652632577).

Almost surely, 22135305265153 is an apocalyptic number.

It is an amenable number.

2135305265153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2135305265153 is an equidigital number, since it uses as much as digits as its factorization.

2135305265153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405000, while the sum is 41.

The spelling of 2135305265153 in words is "two trillion, one hundred thirty-five billion, three hundred five million, two hundred sixty-five thousand, one hundred fifty-three".