Search a number
-
+
33507528137 is a prime number
BaseRepresentation
bin11111001101001101…
…000100110111001001
310012111012022210102122
4133031031010313021
51022110411400022
623220530341025
72264230201256
oct371515046711
9105435283378
1033507528137
1113235142916
1265b172a775
13320cc69135
14189c20642d
15d11a21742
hex7cd344dc9

33507528137 has 2 divisors, whose sum is σ = 33507528138. Its totient is φ = 33507528136.

The previous prime is 33507528113. The next prime is 33507528143. The reversal of 33507528137 is 73182570533.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22858113721 + 10649414416 = 151189^2 + 103196^2 .

It is a cyclic number.

It is not a de Polignac number, because 33507528137 - 212 = 33507524041 is a prime.

It is a super-2 number, since 2×335075281372 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33507528107) 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, 16753764068 + 16753764069.

It is an arithmetic number, because the mean of its divisors is an integer number (16753764069).

Almost surely, 233507528137 is an apocalyptic number.

It is an amenable number.

33507528137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33507528137 is an equidigital number, since it uses as much as digits as its factorization.

33507528137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 529200, while the sum is 44.

The spelling of 33507528137 in words is "thirty-three billion, five hundred seven million, five hundred twenty-eight thousand, one hundred thirty-seven".