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2259137033441 is a prime number
BaseRepresentation
bin100000110111111111000…
…011110111010011100001
321222222020010220002122022
4200313333003313103201
5244003203040032231
64445455550551225
7322134343642211
oct40677703672341
97888203802568
102259137033441
117a1104a61542
12305a04508515
131350605b2512
147b4b2988241
153db73040c7b
hex20dff0f74e1

2259137033441 has 2 divisors, whose sum is σ = 2259137033442. Its totient is φ = 2259137033440.

The previous prime is 2259137033381. The next prime is 2259137033479. The reversal of 2259137033441 is 1443307319522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2112080890000 + 147056143441 = 1453300^2 + 383479^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2259137033441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2259137033392 and 2259137033401.

It is not a weakly prime, because it can be changed into another prime (2259137003441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1129568516720 + 1129568516721.

It is an arithmetic number, because the mean of its divisors is an integer number (1129568516721).

Almost surely, 22259137033441 is an apocalyptic number.

It is an amenable number.

2259137033441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2259137033441 is an equidigital number, since it uses as much as digits as its factorization.

2259137033441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 2259137033441 in words is "two trillion, two hundred fifty-nine billion, one hundred thirty-seven million, thirty-three thousand, four hundred forty-one".