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10245442577 is a prime number
BaseRepresentation
bin10011000101010110…
…10000110000010001
3222110000121102001012
421202223100300101
5131440313130302
64412351220305
7511614552656
oct114253206021
928400542035
1010245442577
114388315717
121b9b217695
13c737c5676
146d29b3c2d
153ee6e1a52
hex262ad0c11

10245442577 has 2 divisors, whose sum is σ = 10245442578. Its totient is φ = 10245442576.

The previous prime is 10245442549. The next prime is 10245442579. The reversal of 10245442577 is 77524454201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7520184961 + 2725257616 = 86719^2 + 52204^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10245442577 is a prime.

Together with 10245442579, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10245442579) 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, 5122721288 + 5122721289.

It is an arithmetic number, because the mean of its divisors is an integer number (5122721289).

Almost surely, 210245442577 is an apocalyptic number.

It is an amenable number.

10245442577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10245442577 is an equidigital number, since it uses as much as digits as its factorization.

10245442577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 313600, while the sum is 41.

Adding to 10245442577 its reverse (77524454201), we get a palindrome (87769896778).

The spelling of 10245442577 in words is "ten billion, two hundred forty-five million, four hundred forty-two thousand, five hundred seventy-seven".