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2582670137 is a prime number
BaseRepresentation
bin1001100111110000…
…0110101100111001
320122222202020101112
42121330012230321
520242130421022
61104135330105
7121000222355
oct23174065471
96588666345
102582670137
111105939333
12600b20935
133220b5ca8
141a7010465
15101b0a8e2
hex99f06b39

2582670137 has 2 divisors, whose sum is σ = 2582670138. Its totient is φ = 2582670136.

The previous prime is 2582670121. The next prime is 2582670187. The reversal of 2582670137 is 7310762852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2561473321 + 21196816 = 50611^2 + 4604^2 .

It is a cyclic number.

It is not a de Polignac number, because 2582670137 - 24 = 2582670121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2582670094 and 2582670103.

It is not a weakly prime, because it can be changed into another prime (2582670187) 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, 1291335068 + 1291335069.

It is an arithmetic number, because the mean of its divisors is an integer number (1291335069).

Almost surely, 22582670137 is an apocalyptic number.

It is an amenable number.

2582670137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2582670137 is an equidigital number, since it uses as much as digits as its factorization.

2582670137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 2582670137 is about 50819.9777351388. The cubic root of 2582670137 is about 1372.0069572770.

The spelling of 2582670137 in words is "two billion, five hundred eighty-two million, six hundred seventy thousand, one hundred thirty-seven".