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8630632013 is a prime number
BaseRepresentation
bin10000000100110110…
…01111111001001101
3211021111001112101112
420002123033321031
5120133420211023
63544224221405
7423606106313
oct100233177115
924244045345
108630632013
113729848633
12180a46a865
13a770a5563
145bc3460b3
15357a69478
hex2026cfe4d

8630632013 has 2 divisors, whose sum is σ = 8630632014. Its totient is φ = 8630632012.

The previous prime is 8630631983. The next prime is 8630632111. The reversal of 8630632013 is 3102360368.

8630632013 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., 7464614404 + 1166017609 = 86398^2 + 34147^2 .

It is a cyclic number.

It is not a de Polignac number, because 8630632013 - 226 = 8563523149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8630632313) 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, 4315316006 + 4315316007.

It is an arithmetic number, because the mean of its divisors is an integer number (4315316007).

Almost surely, 28630632013 is an apocalyptic number.

It is an amenable number.

8630632013 is a deficient number, since it is larger than the sum of its proper divisors (1).

8630632013 is an equidigital number, since it uses as much as digits as its factorization.

8630632013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 8630632013 is about 92901.1948954372. The cubic root of 8630632013 is about 2051.2292459419.

The spelling of 8630632013 in words is "eight billion, six hundred thirty million, six hundred thirty-two thousand, thirteen".