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10506502213 is a prime number
BaseRepresentation
bin10011100100011110…
…01000000001000101
31000010012211121112121
421302033020001011
5133004131032323
64454314445541
7521234536534
oct116217100105
930105747477
1010506502213
114501712689
1220527338b1
13cb590b01c
1471952c31b
154175aca5d
hex2723c8045

10506502213 has 2 divisors, whose sum is σ = 10506502214. Its totient is φ = 10506502212.

The previous prime is 10506502187. The next prime is 10506502283. The reversal of 10506502213 is 31220560501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5657747524 + 4848754689 = 75218^2 + 69633^2 .

It is a cyclic number.

It is not a de Polignac number, because 10506502213 - 213 = 10506494021 is a prime.

It is a super-2 number, since 2×105065022132 (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 (10506502283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5253251106 + 5253251107.

It is an arithmetic number, because the mean of its divisors is an integer number (5253251107).

Almost surely, 210506502213 is an apocalyptic number.

It is an amenable number.

10506502213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10506502213 is an equidigital number, since it uses as much as digits as its factorization.

10506502213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 10506502213 in words is "ten billion, five hundred six million, five hundred two thousand, two hundred thirteen".