2053765252 has 96 divisors (see below), whose sum is σ = 4869365760. Its totient is φ = 733536000.

The previous prime is 2053765249. The next prime is 2053765267. The reversal of 2053765252 is 2525673502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175752 + ... + 187072.

It is an arithmetic number, because the mean of its divisors is an integer number (50722560).

Almost surely, 2^2053765252 is an apocalyptic number.

2053765252 is a gapful number since it is divisible by the number (22) 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 2053765252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434682880).

2053765252 is an abundant number, since it is smaller than the sum of its proper divisors (2815600508).

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

2053765252 is a wasteful number, since it uses less digits than its factorization.

2053765252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11393 (or 11391 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 37.

The square root of 2053765252 is about 45318.4868679439. The cubic root of 2053765252 is about 1271.1113614821. Note that the first 3 decimals are identical.

The spelling of 2053765252 in words is "two billion, fifty-three million, seven hundred sixty-five thousand, two hundred fifty-two".