2053353042 has 72 divisors (see below), whose sum is σ = 4839828084. Its totient is φ = 628872192.

The previous prime is 2053353031. The next prime is 2053353053. The reversal of 2053353042 is 2403533502.

2053353042 is a `hidden beast` number, since 20 + 5 + 335 + 304 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2053353031) and next prime (2053353053).

It can be written as a sum of positive squares in 6 ways, for example, as 447561 + 2052905481 = 669^2 + 45309^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2053352997 and 2053353015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 707338 + ... + 710234.

Almost surely, 2^2053353042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053353042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419914042).

2053353042 is an abundant number, since it is smaller than the sum of its proper divisors (2786475042).

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

2053353042 is a wasteful number, since it uses less digits than its factorization.

2053353042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 2053353042 is about 45313.9387164700. The cubic root of 2053353042 is about 1271.0263144573.

Adding to 2053353042 its reverse (2403533502), we get a palindrome (4456886544).

The spelling of 2053353042 in words is "two billion, fifty-three million, three hundred fifty-three thousand, forty-two".