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13093537 is a prime number
BaseRepresentation
bin110001111100…
…101010100001
3220122012221211
4301330222201
511322443122
61144350121
7216202402
oct61745241
926565854
1013093537
117433406
124475341
132935972
141a4b9a9
151239877
hexc7caa1

13093537 has 2 divisors, whose sum is σ = 13093538. Its totient is φ = 13093536.

The previous prime is 13093517. The next prime is 13093547. The reversal of 13093537 is 73539031.

13093537 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., 7376656 + 5716881 = 2716^2 + 2391^2 .

It is a cyclic number.

It is not a de Polignac number, because 13093537 - 215 = 13060769 is a prime.

It is a super-2 number, since 2×130935372 = 342881422340738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13093499 and 13093508.

It is not a weakly prime, because it can be changed into another prime (13093517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6546768 + 6546769.

It is an arithmetic number, because the mean of its divisors is an integer number (6546769).

Almost surely, 213093537 is an apocalyptic number.

It is an amenable number.

13093537 is a deficient number, since it is larger than the sum of its proper divisors (1).

13093537 is an equidigital number, since it uses as much as digits as its factorization.

13093537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8505, while the sum is 31.

The square root of 13093537 is about 3618.4992745612. The cubic root of 13093537 is about 235.6960621007.

The spelling of 13093537 in words is "thirteen million, ninety-three thousand, five hundred thirty-seven".