6540203511153 has 24 divisors (see below), whose sum is σ = 10173793167720. Its totient is φ = 4024683947520.

The previous prime is 6540203511137. The next prime is 6540203511161. The reversal of 6540203511153 is 3511153020456.

6540203511153 is a `hidden beast` number, since 6 + 540 + 2 + 0 + 3 + 51 + 11 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2940425864289 + 3599777646864 = 1714767^2 + 1897308^2 .

It is not a de Polignac number, because 6540203511153 - 2⁴ = 6540203511137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6540203511133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8880583 + ... + 9588803.

It is an arithmetic number, because the mean of its divisors is an integer number (423908048655).

Almost surely, 2^{6540203511153} is an apocalyptic number.

It is an amenable number.

6540203511153 is a deficient number, since it is larger than the sum of its proper divisors (3633589656567).

6540203511153 is a wasteful number, since it uses less digits than its factorization.

6540203511153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787169 (or 787166 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 6540203511153 in words is "six trillion, five hundred forty billion, two hundred three million, five hundred eleven thousand, one hundred fifty-three".