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2583061021 is a prime number
BaseRepresentation
bin1001100111110110…
…0110001000011101
320200000111002120201
42121331212020131
520242230423041
61104151543501
7121003441102
oct23175461035
96600432521
102583061021
111106085a82
1260108ab91
133221c1b98
141a70b2aa9
15101b86631
hex99f6621d

2583061021 has 2 divisors, whose sum is σ = 2583061022. Its totient is φ = 2583061020.

The previous prime is 2583061009. The next prime is 2583061027. The reversal of 2583061021 is 1201603852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2523555225 + 59505796 = 50235^2 + 7714^2 .

It is a cyclic number.

It is not a de Polignac number, because 2583061021 - 25 = 2583060989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2583061027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1291530510 + 1291530511.

It is an arithmetic number, because the mean of its divisors is an integer number (1291530511).

Almost surely, 22583061021 is an apocalyptic number.

It is an amenable number.

2583061021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2583061021 is an equidigital number, since it uses as much as digits as its factorization.

2583061021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2583061021 is about 50823.8233607036. The cubic root of 2583061021 is about 1372.0761709829.

Adding to 2583061021 its reverse (1201603852), we get a palindrome (3784664873).

The spelling of 2583061021 in words is "two billion, five hundred eighty-three million, sixty-one thousand, twenty-one".