Search a number
-
+
152767163125853 is a prime number
BaseRepresentation
bin100010101111000011100000…
…011111011101000001011101
3202000220101202021002100021022
4202233003200133131001131
5130010414122230011403
61300524133233213525
744115030500220503
oct4257034037350135
9660811667070238
10152767163125853
114474920aa53221
1215173371a012a5
136731b600467b3
1429a1d82124673
15129dc57a04d38
hex8af0e07dd05d

152767163125853 has 2 divisors, whose sum is σ = 152767163125854. Its totient is φ = 152767163125852.

The previous prime is 152767163125817. The next prime is 152767163125867. The reversal of 152767163125853 is 358521361767251.

It is a happy number.

152767163125853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89634635548249 + 63132527577604 = 9467557^2 + 7945598^2 .

It is a cyclic number.

It is not a de Polignac number, because 152767163125853 - 212 = 152767163121757 is a prime.

It is a super-2 number, since 2×1527671631258532 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (152767163125813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76383581562926 + 76383581562927.

It is an arithmetic number, because the mean of its divisors is an integer number (76383581562927).

Almost surely, 2152767163125853 is an apocalyptic number.

It is an amenable number.

152767163125853 is a deficient number, since it is larger than the sum of its proper divisors (1).

152767163125853 is an equidigital number, since it uses as much as digits as its factorization.

152767163125853 is an evil number, because the sum of its binary digits is even.

The product of its digits is 63504000, while the sum is 62.

The spelling of 152767163125853 in words is "one hundred fifty-two trillion, seven hundred sixty-seven billion, one hundred sixty-three million, one hundred twenty-five thousand, eight hundred fifty-three".