10540511 has 2 divisors, whose sum is σ = 10540512. Its totient is φ = 10540510.

The previous prime is 10540499. The next prime is 10540513. The reversal of 10540511 is 11504501.

It is a strong prime.

It is an emirp because it is prime and its reverse (11504501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10540511 - 2¹⁴ = 10524127 is a prime.

It is a super-2 number, since 2×10540511² = 222204744282242, which contains 22 as substring.

Together with 10540513, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10540511.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10540513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5270255 + 5270256.

It is an arithmetic number, because the mean of its divisors is an integer number (5270256).

Almost surely, 2^10540511 is an apocalyptic number.

10540511 is a deficient number, since it is larger than the sum of its proper divisors (1).

10540511 is an equidigital number, since it uses as much as digits as its factorization.

10540511 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 10540511 is about 3246.6153144467. The cubic root of 10540511 is about 219.2572125753.

The spelling of 10540511 in words is "ten million, five hundred forty thousand, five hundred eleven".