1052125200 has 300 divisors, whose sum is σ = 4316350720. Its totient is φ = 240433920.

The previous prime is 1052125199. The next prime is 1052125201. The reversal of 1052125200 is 25212501.

It is an interprime number because it is at equal distance from previous prime (1052125199) and next prime (1052125201).

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1052125200² = 2213934872950080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1052125201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 224481 + ... + 229119.

Almost surely, 2^1052125200 is an apocalyptic number.

1052125200 is a gapful number since it is divisible by the number (10) 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 1052125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158175360).

1052125200 is an abundant number, since it is smaller than the sum of its proper divisors (3264225520).

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

1052125200 is a wasteful number, since it uses less digits than its factorization.

1052125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1052125200 is about 32436.4794637149. The cubic root of 1052125200 is about 1017.0816234381.

Adding to 1052125200 its reverse (25212501), we get a palindrome (1077337701).

It can be divided in two parts, 10521 and 25200, that added together give a square (35721 = 189²).

The spelling of 1052125200 in words is "one billion, fifty-two million, one hundred twenty-five thousand, two hundred".