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1036436801 is a prime number
BaseRepresentation
bin111101110001101…
…100010101000001
32200020020110000012
4331301230111001
54110311434201
6250502234305
734453365431
oct7561542501
92606213005
101036436801
11492050344
1224b125995
13136956c1a
149b9142c1
1560ecc5bb
hex3dc6c541

1036436801 has 2 divisors, whose sum is σ = 1036436802. Its totient is φ = 1036436800.

The previous prime is 1036436749. The next prime is 1036436803. The reversal of 1036436801 is 1086346301.

1036436801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 823977025 + 212459776 = 28705^2 + 14576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1036436801 is a prime.

It is a super-2 number, since 2×10364368012 = 2148402484934227202, which contains 22 as substring.

Together with 1036436803, 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 (1036436803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 518218400 + 518218401.

It is an arithmetic number, because the mean of its divisors is an integer number (518218401).

Almost surely, 21036436801 is an apocalyptic number.

It is an amenable number.

1036436801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1036436801 is an equidigital number, since it uses as much as digits as its factorization.

1036436801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 1036436801 is about 32193.7385371752. The cubic root of 1036436801 is about 1012.0010001839.

The spelling of 1036436801 in words is "one billion, thirty-six million, four hundred thirty-six thousand, eight hundred one".