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132605605133 is a prime number
BaseRepresentation
bin111101101111111101…
…0001111010100001101
3110200021111211200220122
41323133322033110031
54133034013331013
6140530154154325
712403043021531
oct1733772172415
9420244750818
10132605605133
1151268452901
12218494229a5
13c67395ab11
1465bd569bc1
1536b199ea08
hex1edfe8f50d

132605605133 has 2 divisors, whose sum is σ = 132605605134. Its totient is φ = 132605605132.

The previous prime is 132605605081. The next prime is 132605605157. The reversal of 132605605133 is 331506506231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129184174084 + 3421431049 = 359422^2 + 58493^2 .

It is a cyclic number.

It is not a de Polignac number, because 132605605133 - 234 = 115425735949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132605605093 and 132605605102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132605605333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66302802566 + 66302802567.

It is an arithmetic number, because the mean of its divisors is an integer number (66302802567).

Almost surely, 2132605605133 is an apocalyptic number.

It is an amenable number.

132605605133 is a deficient number, since it is larger than the sum of its proper divisors (1).

132605605133 is an equidigital number, since it uses as much as digits as its factorization.

132605605133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 132605605133 in words is "one hundred thirty-two billion, six hundred five million, six hundred five thousand, one hundred thirty-three".