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152653051241 is a prime number
BaseRepresentation
bin1000111000101011010…
…1001011010101101001
3112121000122122110222122
42032022311023111221
510000113140114431
6154043340401025
714012612345345
oct2161265132551
9477018573878
10152653051241
1159815738889
1225703246175
131151a108572
147561c82625
153e8698da7b
hex238ad4b569

152653051241 has 2 divisors, whose sum is σ = 152653051242. Its totient is φ = 152653051240.

The previous prime is 152653051207. The next prime is 152653051307. The reversal of 152653051241 is 142150356251.

152653051241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150051643225 + 2601408016 = 387365^2 + 51004^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-152653051241 is a prime.

It is not a weakly prime, because it can be changed into another prime (152653051741) 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, 76326525620 + 76326525621.

It is an arithmetic number, because the mean of its divisors is an integer number (76326525621).

Almost surely, 2152653051241 is an apocalyptic number.

It is an amenable number.

152653051241 is a deficient number, since it is larger than the sum of its proper divisors (1).

152653051241 is an equidigital number, since it uses as much as digits as its factorization.

152653051241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 152653051241 in words is "one hundred fifty-two billion, six hundred fifty-three million, fifty-one thousand, two hundred forty-one".