2053125360 has 960 divisors, whose sum is σ = 9209410560. Its totient is φ = 413614080.

The previous prime is 2053125359. The next prime is 2053125397. The reversal of 2053125360 is 635213502.

2053125360 is a `hidden beast` number, since 20 + 531 + 2 + 53 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89266309 + ... + 89266331.

It is an arithmetic number, because the mean of its divisors is an integer number (9593136).

Almost surely, 2^2053125360 is an apocalyptic number.

2053125360 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 2053125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604705280).

2053125360 is an abundant number, since it is smaller than the sum of its proper divisors (7156285200).

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

2053125360 is a wasteful number, since it uses less digits than its factorization.

2053125360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2053125360 is about 45311.4263734877. The cubic root of 2053125360 is about 1270.9793343059.

Adding to 2053125360 its reverse (635213502), we get a palindrome (2688338862).

The spelling of 2053125360 in words is "two billion, fifty-three million, one hundred twenty-five thousand, three hundred sixty".