Search a number
-
+
1053133777 is a prime number
BaseRepresentation
bin111110110001011…
…000101111010001
32201101122201221201
4332301120233101
54124100240102
6252300151201
735045326603
oct7661305721
92641581851
101053133777
114a0514aa3
12254838501
1313a251aa7
149dc1d173
15626c9987
hex3ec58bd1

1053133777 has 2 divisors, whose sum is σ = 1053133778. Its totient is φ = 1053133776.

The previous prime is 1053133771. The next prime is 1053133813. The reversal of 1053133777 is 7773313501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 933974721 + 119159056 = 30561^2 + 10916^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1053133777 is a prime.

It is a super-2 number, since 2×10531337772 = 2218181504516571458, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1053133771) 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, 526566888 + 526566889.

It is an arithmetic number, because the mean of its divisors is an integer number (526566889).

Almost surely, 21053133777 is an apocalyptic number.

It is an amenable number.

1053133777 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053133777 is an equidigital number, since it uses as much as digits as its factorization.

1053133777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46305, while the sum is 37.

The square root of 1053133777 is about 32452.0226950494. The cubic root of 1053133777 is about 1017.4065142796.

The spelling of 1053133777 in words is "one billion, fifty-three million, one hundred thirty-three thousand, seven hundred seventy-seven".