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2251985569 is a prime number
BaseRepresentation
bin1000011000111010…
…1001001010100001
312210221111201102221
42012032221022201
514103002014234
61011243511041
7106543363411
oct20616511241
95727451387
102251985569
11a562070a9
1252a228481
1329b733752
14175130641
15d2a89eb4
hex863a92a1

2251985569 has 2 divisors, whose sum is σ = 2251985570. Its totient is φ = 2251985568.

The previous prime is 2251985537. The next prime is 2251985581. The reversal of 2251985569 is 9655891522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1665619344 + 586366225 = 40812^2 + 24215^2 .

It is a cyclic number.

It is not a de Polignac number, because 2251985569 - 25 = 2251985537 is a prime.

It is a super-2 number, since 2×22519855692 = 10142878005968507522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2251985069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125992784 + 1125992785.

It is an arithmetic number, because the mean of its divisors is an integer number (1125992785).

Almost surely, 22251985569 is an apocalyptic number.

It is an amenable number.

2251985569 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251985569 is an equidigital number, since it uses as much as digits as its factorization.

2251985569 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944000, while the sum is 52.

The square root of 2251985569 is about 47455.0900220408. The cubic root of 2251985569 is about 1310.7560402836.

The spelling of 2251985569 in words is "two billion, two hundred fifty-one million, nine hundred eighty-five thousand, five hundred sixty-nine".