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153072517561 is a prime number
BaseRepresentation
bin1000111010001111010…
…1010100000110111001
3112122002212221120121021
42032203311110012321
510001443031030221
6154153123142441
714026164634255
oct2164365240671
9478085846537
10153072517561
1159a1049a067
12257bb814a21
1311585ca43a2
1475a1873265
153ead6ea041
hex23a3d541b9

153072517561 has 2 divisors, whose sum is σ = 153072517562. Its totient is φ = 153072517560.

The previous prime is 153072517519. The next prime is 153072517571. The reversal of 153072517561 is 165715270351.

153072517561 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., 89628983161 + 63443534400 = 299381^2 + 251880^2 .

It is a cyclic number.

It is not a de Polignac number, because 153072517561 - 29 = 153072517049 is a prime.

It is not a weakly prime, because it can be changed into another prime (153072517501) 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, 76536258780 + 76536258781.

It is an arithmetic number, because the mean of its divisors is an integer number (76536258781).

Almost surely, 2153072517561 is an apocalyptic number.

It is an amenable number.

153072517561 is a deficient number, since it is larger than the sum of its proper divisors (1).

153072517561 is an equidigital number, since it uses as much as digits as its factorization.

153072517561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 220500, while the sum is 43.

The spelling of 153072517561 in words is "one hundred fifty-three billion, seventy-two million, five hundred seventeen thousand, five hundred sixty-one".