2661533105253 has 16 divisors (see below), whose sum is σ = 3975951176256. Its totient is φ = 1569454410240.

The previous prime is 2661533105221. The next prime is 2661533105293. The reversal of 2661533105253 is 3525013351662.

2661533105253 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2661533105253 - 2⁵ = 2661533105221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661533105293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089897676 + ... + 1089900117.

It is an arithmetic number, because the mean of its divisors is an integer number (248496948516).

Almost surely, 2^{2661533105253} is an apocalyptic number.

It is an amenable number.

2661533105253 is a deficient number, since it is larger than the sum of its proper divisors (1314418071003).

2661533105253 is a wasteful number, since it uses less digits than its factorization.

2661533105253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179797844.

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 2661533105253 in words is "two trillion, six hundred sixty-one billion, five hundred thirty-three million, one hundred five thousand, two hundred fifty-three".