Search a number
-
+
2527149269441 is a prime number
BaseRepresentation
bin100100110001100101110…
…101011010000111000001
322221121000101012100102102
4210301211311122013001
5312401100203110231
65212542323200145
7350403054235436
oct44614565320701
98847011170372
102527149269441
11894837975245
12349941216055
13154403297204
148a45968db8d
1545b0c32dacb
hex24c65d5a1c1

2527149269441 has 2 divisors, whose sum is σ = 2527149269442. Its totient is φ = 2527149269440.

The previous prime is 2527149269399. The next prime is 2527149269507. The reversal of 2527149269441 is 1449629417252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2511797068225 + 15352201216 = 1584865^2 + 123904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2527149269441 is a prime.

It is not a weakly prime, because it can be changed into another prime (2527149209441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1263574634720 + 1263574634721.

It is an arithmetic number, because the mean of its divisors is an integer number (1263574634721).

Almost surely, 22527149269441 is an apocalyptic number.

It is an amenable number.

2527149269441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2527149269441 is an equidigital number, since it uses as much as digits as its factorization.

2527149269441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8709120, while the sum is 56.

The spelling of 2527149269441 in words is "two trillion, five hundred twenty-seven billion, one hundred forty-nine million, two hundred sixty-nine thousand, four hundred forty-one".