2053025300 has 72 divisors (see below), whose sum is σ = 4524319800. Its totient is φ = 808529920.

The previous prime is 2053025291. The next prime is 2053025309. The reversal of 2053025300 is 35203502.

It is an interprime number because it is at equal distance from previous prime (2053025291) and next prime (2053025309).

It can be written as a sum of positive squares in 12 ways, for example, as 1018631056 + 1034394244 = 31916^2 + 32162^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053025309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3461804 + ... + 3462396.

It is an arithmetic number, because the mean of its divisors is an integer number (62837775).

Almost surely, 2^2053025300 is an apocalyptic number.

2053025300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053025300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262159900).

2053025300 is an abundant number, since it is smaller than the sum of its proper divisors (2471294500).

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

2053025300 is a wasteful number, since it uses less digits than its factorization.

2053025300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 2053025300 is about 45310.3222235287. The cubic root of 2053025300 is about 1270.9586867182.

Adding to 2053025300 its reverse (35203502), we get a palindrome (2088228802).

The spelling of 2053025300 in words is "two billion, fifty-three million, twenty-five thousand, three hundred".