Search a number
-
+
133266533645657 is a prime number
BaseRepresentation
bin11110010011010010001000…
…011001011111110101011001
3122110212011012212100122100202
4132103102020121133311121
5114431414330103130112
61151233444514311545
740033121636444066
oct3623221031376531
9573764185318322
10133266533645657
1139510023a9a915
1212b43b445885b5
135948c98662749
1424ca1c566bc6d
15106187d3ae6c2
hex79348865fd59

133266533645657 has 2 divisors, whose sum is σ = 133266533645658. Its totient is φ = 133266533645656.

The previous prime is 133266533645599. The next prime is 133266533645681. The reversal of 133266533645657 is 756546335662331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126978731658256 + 6287801987401 = 11268484^2 + 2507549^2 .

It is a cyclic number.

It is not a de Polignac number, because 133266533645657 - 212 = 133266533641561 is a prime.

It is a super-2 number, since 2×1332665336456572 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133266533645593 and 133266533645602.

It is not a weakly prime, because it can be changed into another prime (133266533645257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66633266822828 + 66633266822829.

It is an arithmetic number, because the mean of its divisors is an integer number (66633266822829).

Almost surely, 2133266533645657 is an apocalyptic number.

It is an amenable number.

133266533645657 is a deficient number, since it is larger than the sum of its proper divisors (1).

133266533645657 is an equidigital number, since it uses as much as digits as its factorization.

133266533645657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 734832000, while the sum is 65.

The spelling of 133266533645657 in words is "one hundred thirty-three trillion, two hundred sixty-six billion, five hundred thirty-three million, six hundred forty-five thousand, six hundred fifty-seven".