2052313100 has 72 divisors (see below), whose sum is σ = 4744383840. Its totient is φ = 767902720.

The previous prime is 2052313091. The next prime is 2052313127. The reversal of 2052313100 is 13132502.

It is a super-2 number, since 2×2052313100² = 8423978120863220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280286 + ... + 287514.

It is an arithmetic number, because the mean of its divisors is an integer number (65894220).

Almost surely, 2^2052313100 is an apocalyptic number.

2052313100 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 2052313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372191920).

2052313100 is an abundant number, since it is smaller than the sum of its proper divisors (2692070740).

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

2052313100 is a wasteful number, since it uses less digits than its factorization.

2052313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 2052313100 is about 45302.4624054808. The cubic root of 2052313100 is about 1270.8117033913.

Adding to 2052313100 its reverse (13132502), we get a palindrome (2065445602).

The spelling of 2052313100 in words is "two billion, fifty-two million, three hundred thirteen thousand, one hundred".