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2251513244329 is a prime number
BaseRepresentation
bin100000110000111000101…
…001011010101010101001
321222020112211101111001121
4200300320221122222221
5243342044342304304
64442155250415241
7321444411543616
oct40607051325251
97866484344047
102251513244329
11798952590988
12304437291521
13134416ca19bb
147ad8c25150d
153d878aaa554
hex20c38a5aaa9

2251513244329 has 2 divisors, whose sum is σ = 2251513244330. Its totient is φ = 2251513244328.

The previous prime is 2251513244261. The next prime is 2251513244377. The reversal of 2251513244329 is 9234423151522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2053775610000 + 197737634329 = 1433100^2 + 444677^2 .

It is a cyclic number.

It is not a de Polignac number, because 2251513244329 - 211 = 2251513242281 is a prime.

It is not a weakly prime, because it can be changed into another prime (2251513844329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125756622164 + 1125756622165.

It is an arithmetic number, because the mean of its divisors is an integer number (1125756622165).

Almost surely, 22251513244329 is an apocalyptic number.

It is an amenable number.

2251513244329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251513244329 is an equidigital number, since it uses as much as digits as its factorization.

2251513244329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 518400, while the sum is 43.

The spelling of 2251513244329 in words is "two trillion, two hundred fifty-one billion, five hundred thirteen million, two hundred forty-four thousand, three hundred twenty-nine".