2053125 has 36 divisors (see below), whose sum is σ = 3757572. Its totient is φ = 1080000.

The previous prime is 2053111. The next prime is 2053127. The reversal of 2053125 is 5213502.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1640961 + 412164 = 1281^2 + 642^2 .

It is not a de Polignac number, because 2053125 - 2⁴ = 2053109 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2053098 and 2053107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28089 + ... + 28161.

It is an arithmetic number, because the mean of its divisors is an integer number (104377).

2^2053125 is an apocalyptic number.

2053125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2053125 is a deficient number, since it is larger than the sum of its proper divisors (1704447).

2053125 is an frugal number, since it uses more digits than its factorization.

2053125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2053125 is about 1432.8729880907. The cubic root of 2053125 is about 127.0979260020.

Adding to 2053125 its reverse (5213502), we get a palindrome (7266627).

The spelling of 2053125 in words is "two million, fifty-three thousand, one hundred twenty-five".