10540001 has 2 divisors, whose sum is σ = 10540002. Its totient is φ = 10540000.

The previous prime is 10539979. The next prime is 10540027. The reversal of 10540001 is 10004501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6838225 + 3701776 = 2615^2 + 1924^2 .

It is a cyclic number.

It is not a de Polignac number, because 10540001 - 2¹⁸ = 10277857 is a prime.

It is a super-2 number, since 2×10540001² = 222183242160002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10540081) 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, 5270000 + 5270001.

It is an arithmetic number, because the mean of its divisors is an integer number (5270001).

Almost surely, 2^10540001 is an apocalyptic number.

It is an amenable number.

10540001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10540001 is an equidigital number, since it uses as much as digits as its factorization.

10540001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 10540001 is about 3246.5367701599. The cubic root of 10540001 is about 219.2536762831.

Adding to 10540001 its reverse (10004501), we get a palindrome (20544502).

The spelling of 10540001 in words is "ten million, five hundred forty thousand, one".