Search a number
-
+
2053267961 is a prime number
BaseRepresentation
bin111101001100010…
…0110000111111001
312022002120211010112
41322120212013321
513201114033321
6535424354105
7101611326653
oct17230460771
95262524115
102053267961
1196401a678
12493775935
13269508074
141569a36d3
15c03d5a5b
hex7a6261f9

2053267961 has 2 divisors, whose sum is σ = 2053267962. Its totient is φ = 2053267960.

The previous prime is 2053267949. The next prime is 2053267963. The reversal of 2053267961 is 1697623502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1319941561 + 733326400 = 36331^2 + 27080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2053267961 is a prime.

Together with 2053267963, 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 (2053267963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1026633980 + 1026633981.

It is an arithmetic number, because the mean of its divisors is an integer number (1026633981).

Almost surely, 22053267961 is an apocalyptic number.

It is an amenable number.

2053267961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2053267961 is an equidigital number, since it uses as much as digits as its factorization.

2053267961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 2053267961 is about 45312.9999117251. Note that the first 4 decimals coincide. The cubic root of 2053267961 is about 1271.0087591577.

The spelling of 2053267961 in words is "two billion, fifty-three million, two hundred sixty-seven thousand, nine hundred sixty-one".