Search a number
-
+
2053295462129 is a prime number
BaseRepresentation
bin11101111000010001111…
…100100101011011110001
321021021220200122211202212
4131320101330211123301
5232120122114242004
64211134303421505
7301226401313102
oct35702174453361
97237820584685
102053295462129
1172188583935a
12291b385b4895
1311b817c87a92
1471546b383a9
1538626d2a96e
hex1de11f256f1

2053295462129 has 2 divisors, whose sum is σ = 2053295462130. Its totient is φ = 2053295462128.

The previous prime is 2053295462117. The next prime is 2053295462131. The reversal of 2053295462129 is 9212645923502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1174464210529 + 878831251600 = 1083727^2 + 937460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2053295462129 is a prime.

Together with 2053295462131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2053295462189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1026647731064 + 1026647731065.

It is an arithmetic number, because the mean of its divisors is an integer number (1026647731065).

Almost surely, 22053295462129 is an apocalyptic number.

It is an amenable number.

2053295462129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2053295462129 is an equidigital number, since it uses as much as digits as its factorization.

2053295462129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 2053295462129 in words is "two trillion, fifty-three billion, two hundred ninety-five million, four hundred sixty-two thousand, one hundred twenty-nine".