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265141342301153 is a prime number
BaseRepresentation
bin111100010010010100000111…
…100001011110101111100001
31021202210021011000121112201112
4330102110013201132233201
5234223033432112114103
62335524130124313105
7106563554430046223
oct7422240741365741
91252707130545645
10265141342301153
11775338a256584a
12258a22030a2795
13b4c394b8bc646
144968ca3704413
15209be04d2dcd8
hexf1250785ebe1

265141342301153 has 2 divisors, whose sum is σ = 265141342301154. Its totient is φ = 265141342301152.

The previous prime is 265141342301117. The next prime is 265141342301189. The reversal of 265141342301153 is 351103243141562.

265141342301153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (265141342301117) and next prime (265141342301189).

It can be written as a sum of positive squares in only one way, i.e., 169406702390689 + 95734639910464 = 13015633^2 + 9784408^2 .

It is a cyclic number.

It is not a de Polignac number, because 265141342301153 - 216 = 265141342235617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 265141342301153.

It is not a weakly prime, because it can be changed into another prime (265141342301053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132570671150576 + 132570671150577.

It is an arithmetic number, because the mean of its divisors is an integer number (132570671150577).

Almost surely, 2265141342301153 is an apocalyptic number.

It is an amenable number.

265141342301153 is a deficient number, since it is larger than the sum of its proper divisors (1).

265141342301153 is an equidigital number, since it uses as much as digits as its factorization.

265141342301153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 265141342301153 in words is "two hundred sixty-five trillion, one hundred forty-one billion, three hundred forty-two million, three hundred one thousand, one hundred fifty-three".