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2563117201 is a prime number
BaseRepresentation
bin1001100011000110…
…0001000010010001
320121121221211210201
42120301201002101
520222124222301
61102200255201
7120342064621
oct23061410221
96547854721
102563117201
1110a58a3987
125b6471501
1331b02b1c8
141a45a0881
15100047201
hex98c61091

2563117201 has 2 divisors, whose sum is σ = 2563117202. Its totient is φ = 2563117200.

The previous prime is 2563117069. The next prime is 2563117213. The reversal of 2563117201 is 1027113652.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2562890625 + 226576 = 50625^2 + 476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2563117201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2563117201.

It is not a weakly prime, because it can be changed into another prime (2563117241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1281558600 + 1281558601.

It is an arithmetic number, because the mean of its divisors is an integer number (1281558601).

Almost surely, 22563117201 is an apocalyptic number.

It is an amenable number.

2563117201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2563117201 is an equidigital number, since it uses as much as digits as its factorization.

2563117201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 2563117201 is about 50627.2377381978. The cubic root of 2563117201 is about 1368.5357757461.

The spelling of 2563117201 in words is "two billion, five hundred sixty-three million, one hundred seventeen thousand, two hundred one".