2053268034041 has 32 divisors (see below), whose sum is σ = 2429616777216. Its totient is φ = 1698024384000.

The previous prime is 2053268034031. The next prime is 2053268034043. The reversal of 2053268034041 is 1404308623502.

It is not a de Polignac number, because 2053268034041 - 2⁶ = 2053268033977 is a prime.

It is a super-3 number, since 3×2053268034041³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2053268033986 and 2053268034004.

It is not an unprimeable number, because it can be changed into a prime (2053268034043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160142411 + ... + 160155231.

It is an arithmetic number, because the mean of its divisors is an integer number (75925524288).

Almost surely, 2^{2053268034041} is an apocalyptic number.

It is an amenable number.

2053268034041 is a deficient number, since it is larger than the sum of its proper divisors (376348743175).

2053268034041 is a wasteful number, since it uses less digits than its factorization.

2053268034041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15033.

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 2053268034041 in words is "two trillion, fifty-three billion, two hundred sixty-eight million, thirty-four thousand, forty-one".