2053542524202 has 120 divisors (see below), whose sum is σ = 5180237712804. Its totient is φ = 604386769536.

The previous prime is 2053542524171. The next prime is 2053542524203. The reversal of 2053542524202 is 2024252453502.

2053542524202 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 5 + 425 + 24 + 202 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1554412991121 + 499129533081 = 1246761^2 + 706491^2 .

It is not an unprimeable number, because it can be changed into a prime (2053542524203) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 192438 + ... + 2035710.

Almost surely, 2^{2053542524202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053542524202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590118856402).

2053542524202 is an abundant number, since it is smaller than the sum of its proper divisors (3126695188602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2053542524202 is a wasteful number, since it uses less digits than its factorization.

2053542524202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843346 (or 1843314 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 2053542524202 its reverse (2024252453502), we get a palindrome (4077794977704).

The spelling of 2053542524202 in words is "two trillion, fifty-three billion, five hundred forty-two million, five hundred twenty-four thousand, two hundred two".