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153330506563181 is a prime number
BaseRepresentation
bin100010110111010000001010…
…011000000111111001101101
3202002220020211122011002001012
4202313100022120013321231
5130044131334140010211
61302035021242155005
744203522614352433
oct4267201230077155
9662806748132035
10153330506563181
1144946114700722
12152445904b2a65
13677300a50201c
1429c1343c82d53
1512ad72966dd8b
hex8b740a607e6d

153330506563181 has 2 divisors, whose sum is σ = 153330506563182. Its totient is φ = 153330506563180.

The previous prime is 153330506563133. The next prime is 153330506563183. The reversal of 153330506563181 is 181365605033351.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152742631670281 + 587874892900 = 12358909^2 + 766730^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-153330506563181 is a prime.

It is a super-2 number, since 2×1533305065631812 (a number of 29 digits) contains 22 as substring.

Together with 153330506563183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153330506563183) 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, 76665253281590 + 76665253281591.

It is an arithmetic number, because the mean of its divisors is an integer number (76665253281591).

Almost surely, 2153330506563181 is an apocalyptic number.

It is an amenable number.

153330506563181 is a deficient number, since it is larger than the sum of its proper divisors (1).

153330506563181 is an equidigital number, since it uses as much as digits as its factorization.

153330506563181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916000, while the sum is 50.

The spelling of 153330506563181 in words is "one hundred fifty-three trillion, three hundred thirty billion, five hundred six million, five hundred sixty-three thousand, one hundred eighty-one".