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2590381097 is a prime number
BaseRepresentation
bin1001101001100110…
…0001010000101001
320200112020222211122
42122121201100221
520301114143342
61105012505025
7121122606323
oct23231412051
96615228748
102590381097
11110a225727
1260361b175
133238859a5
141a805a613
151026304d2
hex9a661429

2590381097 has 2 divisors, whose sum is σ = 2590381098. Its totient is φ = 2590381096.

The previous prime is 2590381081. The next prime is 2590381099. The reversal of 2590381097 is 7901830952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1764336016 + 826045081 = 42004^2 + 28741^2 .

It is a cyclic number.

It is not a de Polignac number, because 2590381097 - 24 = 2590381081 is a prime.

Together with 2590381099, 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 (2590381099) 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, 1295190548 + 1295190549.

It is an arithmetic number, because the mean of its divisors is an integer number (1295190549).

Almost surely, 22590381097 is an apocalyptic number.

It is an amenable number.

2590381097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2590381097 is an equidigital number, since it uses as much as digits as its factorization.

2590381097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 2590381097 is about 50895.7866330800. The cubic root of 2590381097 is about 1373.3710467317.

The spelling of 2590381097 in words is "two billion, five hundred ninety million, three hundred eighty-one thousand, ninety-seven".