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10475587261 is a prime number
BaseRepresentation
bin10011100000110010…
…01100011010111101
31000001001122222012101
421300121030122331
5132423222243021
64451252105101
7520411010506
oct116031143275
930031588171
1010475587261
114496217837
122044305191
13cac3a5759
147153a1bad
15414a02a91
hex27064c6bd

10475587261 has 2 divisors, whose sum is σ = 10475587262. Its totient is φ = 10475587260.

The previous prime is 10475587219. The next prime is 10475587267. The reversal of 10475587261 is 16278557401.

10475587261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9747612900 + 727974361 = 98730^2 + 26981^2 .

It is a cyclic number.

It is not a de Polignac number, because 10475587261 - 219 = 10475062973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10475587267) 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, 5237793630 + 5237793631.

It is an arithmetic number, because the mean of its divisors is an integer number (5237793631).

Almost surely, 210475587261 is an apocalyptic number.

It is an amenable number.

10475587261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10475587261 is an equidigital number, since it uses as much as digits as its factorization.

10475587261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 470400, while the sum is 46.

The spelling of 10475587261 in words is "ten billion, four hundred seventy-five million, five hundred eighty-seven thousand, two hundred sixty-one".