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10013537 is a prime number
BaseRepresentation
bin100110001100…
…101101100001
3200211201222202
4212030231201
510030413122
6554342545
7151053662
oct46145541
920751882
1010013537
11571a356
12342aa55
1320c7a91
141489369
15d2be92
hex98cb61

10013537 has 2 divisors, whose sum is σ = 10013538. Its totient is φ = 10013536.

The previous prime is 10013519. The next prime is 10013543. The reversal of 10013537 is 73531001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7706176 + 2307361 = 2776^2 + 1519^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013537 - 26 = 10013473 is a prime.

It is not a weakly prime, because it can be changed into another prime (10013137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006768 + 5006769.

It is an arithmetic number, because the mean of its divisors is an integer number (5006769).

Almost surely, 210013537 is an apocalyptic number.

It is an amenable number.

10013537 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013537 is an equidigital number, since it uses as much as digits as its factorization.

10013537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 10013537 is about 3164.4173239318. The cubic root of 10013537 is about 215.5406404440.

Adding to 10013537 its reverse (73531001), we get a palindrome (83544538).

The spelling of 10013537 in words is "ten million, thirteen thousand, five hundred thirty-seven".