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10225045813 is a prime number
BaseRepresentation
bin10011000010111010…
…11101000100110101
3222101121020010221111
421201131131010311
5131420102431223
64410342115021
7511246312123
oct114135350465
928347203844
1010225045813
114377854294
121b9441ba71
13c6c503788
146cddc4913
153eca1330d
hex26175d135

10225045813 has 2 divisors, whose sum is σ = 10225045814. Its totient is φ = 10225045812.

The previous prime is 10225045693. The next prime is 10225045847. The reversal of 10225045813 is 31854052201.

10225045813 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., 9335037924 + 890007889 = 96618^2 + 29833^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10225045813 is a prime.

It is a super-3 number, since 3×102250458133 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10225045213) 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, 5112522906 + 5112522907.

It is an arithmetic number, because the mean of its divisors is an integer number (5112522907).

Almost surely, 210225045813 is an apocalyptic number.

It is an amenable number.

10225045813 is a deficient number, since it is larger than the sum of its proper divisors (1).

10225045813 is an equidigital number, since it uses as much as digits as its factorization.

10225045813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 10225045813 in words is "ten billion, two hundred twenty-five million, forty-five thousand, eight hundred thirteen".