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13531202593 is a prime number
BaseRepresentation
bin11001001101000010…
…11100010000100001
31021221000100022102121
430212201130100201
5210202441440333
610114404344241
7656213216146
oct144641342041
937830308377
1013531202593
115814013867
1227576a5081
13137846026c
149251243cd
15542dd032d
hex32685c421

13531202593 has 2 divisors, whose sum is σ = 13531202594. Its totient is φ = 13531202592.

The previous prime is 13531202543. The next prime is 13531202651. The reversal of 13531202593 is 39520213531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7735730209 + 5795472384 = 87953^2 + 76128^2 .

It is a cyclic number.

It is not a de Polignac number, because 13531202593 - 213 = 13531194401 is a prime.

It is a super-2 number, since 2×135312025932 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13531202533) 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, 6765601296 + 6765601297.

It is an arithmetic number, because the mean of its divisors is an integer number (6765601297).

Almost surely, 213531202593 is an apocalyptic number.

It is an amenable number.

13531202593 is a deficient number, since it is larger than the sum of its proper divisors (1).

13531202593 is an equidigital number, since it uses as much as digits as its factorization.

13531202593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24300, while the sum is 34.

The spelling of 13531202593 in words is "thirteen billion, five hundred thirty-one million, two hundred two thousand, five hundred ninety-three".