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10521875129 is a prime number
BaseRepresentation
bin10011100110010011…
…10001001010111001
31000011021202122012212
421303021301022321
5133022100001004
64500024144505
7521512314533
oct116311611271
930137678185
1010521875129
11450a362577
122057908135
13cb8b6131c
1471b5b0853
15418ae796e
hex2732712b9

10521875129 has 2 divisors, whose sum is σ = 10521875130. Its totient is φ = 10521875128.

The previous prime is 10521875099. The next prime is 10521875131. The reversal of 10521875129 is 92157812501.

10521875129 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., 9341609104 + 1180266025 = 96652^2 + 34355^2 .

It is a cyclic number.

It is not a de Polignac number, because 10521875129 - 212 = 10521871033 is a prime.

It is a super-2 number, since 2×105218751292 (a number of 21 digits) contains 22 as substring.

Together with 10521875131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10521865129) 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, 5260937564 + 5260937565.

It is an arithmetic number, because the mean of its divisors is an integer number (5260937565).

Almost surely, 210521875129 is an apocalyptic number.

It is an amenable number.

10521875129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10521875129 is an equidigital number, since it uses as much as digits as its factorization.

10521875129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 41.

The spelling of 10521875129 in words is "ten billion, five hundred twenty-one million, eight hundred seventy-five thousand, one hundred twenty-nine".