2053646635525 has 24 divisors (see below), whose sum is σ = 2639508906600. Its totient is φ = 1583148268800.

The previous prime is 2053646635501. The next prime is 2053646635541. The reversal of 2053646635525 is 5255366463502.

It can be written as a sum of positive squares in 12 ways, for example, as 28245171969 + 2025401463556 = 168063^2 + 1423166^2 .

It is not a de Polignac number, because 2053646635525 - 2²³ = 2053638246917 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2413506 + ... + 3151555.

It is an arithmetic number, because the mean of its divisors is an integer number (109979537775).

Almost surely, 2^{2053646635525} is an apocalyptic number.

2053646635525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2053646635525 is a deficient number, since it is larger than the sum of its proper divisors (585862271075).

2053646635525 is a wasteful number, since it uses less digits than its factorization.

2053646635525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565609 (or 5565604 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 52.

The spelling of 2053646635525 in words is "two trillion, fifty-three billion, six hundred forty-six million, six hundred thirty-five thousand, five hundred twenty-five".