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13540801 is a prime number
BaseRepresentation
bin110011101001…
…110111000001
3221110221111011
4303221313001
511431301201
61202120521
7223044361
oct63516701
927427434
1013540801
11770944a
124650141
132a61411
141b269a1
1512c7151
hexce9dc1

13540801 has 2 divisors, whose sum is σ = 13540802. Its totient is φ = 13540800.

The previous prime is 13540799. The next prime is 13540817. The reversal of 13540801 is 10804531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9734400 + 3806401 = 3120^2 + 1951^2 .

It is a cyclic number.

It is not a de Polignac number, because 13540801 - 21 = 13540799 is a prime.

Together with 13540799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13540871) 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, 6770400 + 6770401.

It is an arithmetic number, because the mean of its divisors is an integer number (6770401).

Almost surely, 213540801 is an apocalyptic number.

It is an amenable number.

13540801 is a deficient number, since it is larger than the sum of its proper divisors (1).

13540801 is an equidigital number, since it uses as much as digits as its factorization.

13540801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 13540801 is about 3679.7827381518. The cubic root of 13540801 is about 238.3497963536.

It can be divided in two parts, 13540 and 801, that added together give a palindrome (14341).

The spelling of 13540801 in words is "thirteen million, five hundred forty thousand, eight hundred one".