Search a number
-
+
133681608253 is a prime number
BaseRepresentation
bin111110010000000001…
…0110111011000111101
3110210001111112022201001
41330200002313120331
54142234442431003
6141225032450301
712441516631054
oct1744002673075
9423044468631
10133681608253
115176a867986
1221aa9849991
13c7b585905b
14668241d39b
15372619561d
hex1f200b763d

133681608253 has 2 divisors, whose sum is σ = 133681608254. Its totient is φ = 133681608252.

The previous prime is 133681608217. The next prime is 133681608329. The reversal of 133681608253 is 352806186331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130665621529 + 3015986724 = 361477^2 + 54918^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133681608253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133681648253) 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, 66840804126 + 66840804127.

It is an arithmetic number, because the mean of its divisors is an integer number (66840804127).

Almost surely, 2133681608253 is an apocalyptic number.

It is an amenable number.

133681608253 is a deficient number, since it is larger than the sum of its proper divisors (1).

133681608253 is an equidigital number, since it uses as much as digits as its factorization.

133681608253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 133681608253 in words is "one hundred thirty-three billion, six hundred eighty-one million, six hundred eight thousand, two hundred fifty-three".