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10506213089 is a prime number
BaseRepresentation
bin10011100100011100…
…00001011011100001
31000010012021220221022
421302032001123201
5133004042304324
64454304335225
7521232223601
oct116216013341
930105256838
1010506213089
114501535439
122052614515
13cb5839548
14719494c01
1541755205e
hex2723816e1

10506213089 has 2 divisors, whose sum is σ = 10506213090. Its totient is φ = 10506213088.

The previous prime is 10506212989. The next prime is 10506213149. The reversal of 10506213089 is 98031260501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8153187025 + 2353026064 = 90295^2 + 48508^2 .

It is a cyclic number.

It is not a de Polignac number, because 10506213089 - 232 = 6211245793 is a prime.

It is a super-2 number, since 2×105062130892 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10506203089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5253106544 + 5253106545.

It is an arithmetic number, because the mean of its divisors is an integer number (5253106545).

Almost surely, 210506213089 is an apocalyptic number.

It is an amenable number.

10506213089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10506213089 is an equidigital number, since it uses as much as digits as its factorization.

10506213089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 10506213089 in words is "ten billion, five hundred six million, two hundred thirteen thousand, eighty-nine".