Search a number
-
+
363252762133 is a prime number
BaseRepresentation
bin1010100100100111000…
…11010100011000010101
31021201121201011021021221
411102103203110120111
521422420201342013
6434513115210341
735146512350512
oct5222343243025
91251551137257
10363252762133
11130066794728
125a4987469b1
132834043c001
141381d9d6309
1596b078308d
hex54938d4615

363252762133 has 2 divisors, whose sum is σ = 363252762134. Its totient is φ = 363252762132.

The previous prime is 363252762107. The next prime is 363252762199. The reversal of 363252762133 is 331267252363.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 363105066724 + 147695409 = 602582^2 + 12153^2 .

It is a cyclic number.

It is not a de Polignac number, because 363252762133 - 217 = 363252631061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 363252762133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (363252762233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181626381066 + 181626381067.

It is an arithmetic number, because the mean of its divisors is an integer number (181626381067).

Almost surely, 2363252762133 is an apocalyptic number.

It is an amenable number.

363252762133 is a deficient number, since it is larger than the sum of its proper divisors (1).

363252762133 is an equidigital number, since it uses as much as digits as its factorization.

363252762133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 816480, while the sum is 43.

The spelling of 363252762133 in words is "three hundred sixty-three billion, two hundred fifty-two million, seven hundred sixty-two thousand, one hundred thirty-three".