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10027513537 is a prime number
BaseRepresentation
bin10010101011010111…
…11011011011000001
3221212211112110121021
421111223323123001
5131014020413122
64335004225441
7503330313226
oct112553733301
927784473537
1010027513537
1142862a7378
121b3a23b281
13c3a601782
146b1a8594d
153da4e51c7
hex255afb6c1

10027513537 has 2 divisors, whose sum is σ = 10027513538. Its totient is φ = 10027513536.

The previous prime is 10027513519. The next prime is 10027513553. The reversal of 10027513537 is 73531572001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8540717056 + 1486796481 = 92416^2 + 38559^2 .

It is an emirp because it is prime and its reverse (73531572001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10027513537 - 27 = 10027513409 is a prime.

It is not a weakly prime, because it can be changed into another prime (10027513567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5013756768 + 5013756769.

It is an arithmetic number, because the mean of its divisors is an integer number (5013756769).

Almost surely, 210027513537 is an apocalyptic number.

It is an amenable number.

10027513537 is a deficient number, since it is larger than the sum of its proper divisors (1).

10027513537 is an equidigital number, since it uses as much as digits as its factorization.

10027513537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22050, while the sum is 34.

The spelling of 10027513537 in words is "ten billion, twenty-seven million, five hundred thirteen thousand, five hundred thirty-seven".