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12962626356961 is a prime number
BaseRepresentation
bin1011110010100001100010…
…1111010100011011100001
31200220012210201101202020001
42330220120233110123201
53144334424321410321
643322540501420001
72505342652025101
oct274503057243341
950805721352201
1012962626356961
1141484677095a6
1215542b140a601
137304a7a76838
1432b57459b201
151772c3539c91
hexbca18bd46e1

12962626356961 has 2 divisors, whose sum is σ = 12962626356962. Its totient is φ = 12962626356960.

The previous prime is 12962626356941. The next prime is 12962626357081. The reversal of 12962626356961 is 16965362626921.

12962626356961 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., 9614458316961 + 3348168040000 = 3100719^2 + 1829800^2 .

It is a cyclic number.

It is not a de Polignac number, because 12962626356961 - 223 = 12962617968353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12962626356893 and 12962626356902.

It is not a weakly prime, because it can be changed into another prime (12962626356941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6481313178480 + 6481313178481.

It is an arithmetic number, because the mean of its divisors is an integer number (6481313178481).

Almost surely, 212962626356961 is an apocalyptic number.

It is an amenable number.

12962626356961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12962626356961 is an equidigital number, since it uses as much as digits as its factorization.

12962626356961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 75582720, while the sum is 64.

The spelling of 12962626356961 in words is "twelve trillion, nine hundred sixty-two billion, six hundred twenty-six million, three hundred fifty-six thousand, nine hundred sixty-one".