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10510006037 is a prime number
BaseRepresentation
bin10011100100111000…
…11111011100010101
31000010110102121212212
421302130133130111
5133011030143122
64454521523205
7521306402006
oct116234373425
930113377785
1010510006037
114503696103
122053943505
13cb6566aab
14719ba11ad
15417a50ce2
hex27271f715

10510006037 has 2 divisors, whose sum is σ = 10510006038. Its totient is φ = 10510006036.

The previous prime is 10510006019. The next prime is 10510006061. The reversal of 10510006037 is 73060001501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5453231716 + 5056774321 = 73846^2 + 71111^2 .

It is an emirp because it is prime and its reverse (73060001501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10510006037 - 222 = 10505811733 is a prime.

It is a super-2 number, since 2×105100060372 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10510006007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5255003018 + 5255003019.

It is an arithmetic number, because the mean of its divisors is an integer number (5255003019).

Almost surely, 210510006037 is an apocalyptic number.

It is an amenable number.

10510006037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10510006037 is an equidigital number, since it uses as much as digits as its factorization.

10510006037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

Adding to 10510006037 its reverse (73060001501), we get a palindrome (83570007538).

The spelling of 10510006037 in words is "ten billion, five hundred ten million, six thousand, thirty-seven".