52052100 has 144 divisors (see below), whose sum is σ = 161656320. Its totient is φ = 12902400.

The previous prime is 52052089. The next prime is 52052137. The reversal of 52052100 is 125025.

It is a super-2 number, since 2×52052100² = 5418842228820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52052100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269604 + ... + 269796.

Almost surely, 2^52052100 is an apocalyptic number.

52052100 is a gapful number since it is divisible by the number (50) 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 52052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80828160).

52052100 is an abundant number, since it is smaller than the sum of its proper divisors (109604220).

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

52052100 is a wasteful number, since it uses less digits than its factorization.

52052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 52052100 is about 7214.7141315509. The cubic root of 52052100 is about 373.3757303750.

Adding to 52052100 its reverse (125025), we get a palindrome (52177125).

The spelling of 52052100 in words is "fifty-two million, fifty-two thousand, one hundred".