Search a number
-
+
524037161861137 is a prime number
BaseRepresentation
bin111011100100110111110100…
…0111000011100000000010001
32112201110110111211022222220201
41313021233220320130000101
51022141311101414024022
65054311203153335201
7215244302250551251
oct16711575070340021
92481413454288821
10524037161861137
11141a79a04282801
124a935ab5267501
1319653652833aa2
1493597692b3961
15408b620ea6127
hex1dc9be8e1c011

524037161861137 has 2 divisors, whose sum is σ = 524037161861138. Its totient is φ = 524037161861136.

The previous prime is 524037161861117. The next prime is 524037161861197. The reversal of 524037161861137 is 731168161730425.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 514623335166721 + 9413826694416 = 22685311^2 + 3068196^2 .

It is a cyclic number.

It is not a de Polignac number, because 524037161861137 - 211 = 524037161859089 is a prime.

It is a super-2 number, since 2×5240371618611372 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (524037161861117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262018580930568 + 262018580930569.

It is an arithmetic number, because the mean of its divisors is an integer number (262018580930569).

Almost surely, 2524037161861137 is an apocalyptic number.

It is an amenable number.

524037161861137 is a deficient number, since it is larger than the sum of its proper divisors (1).

524037161861137 is an equidigital number, since it uses as much as digits as its factorization.

524037161861137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 524037161861137 in words is "five hundred twenty-four trillion, thirty-seven billion, one hundred sixty-one million, eight hundred sixty-one thousand, one hundred thirty-seven".