1052251200 has 1008 divisors, whose sum is σ = 5090257536. Its totient is φ = 199065600.

The previous prime is 1052251157. The next prime is 1052251223. The reversal of 1052251200 is 21522501.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1052251200² = 2214465175802880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14414364 + ... + 14414436.

Almost surely, 2^1052251200 is an apocalyptic number.

1052251200 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 1052251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545128768).

1052251200 is an abundant number, since it is smaller than the sum of its proper divisors (4038006336).

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

1052251200 is a wasteful number, since it uses less digits than its factorization.

1052251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

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

The square root of 1052251200 is about 32438.4216632067. The cubic root of 1052251200 is about 1017.1222229058.

Adding to 1052251200 its reverse (21522501), we get a palindrome (1073773701).

It can be divided in two parts, 1052 and 251200, that added together give a palindrome (252252).

The spelling of 1052251200 in words is "one billion, fifty-two million, two hundred fifty-one thousand, two hundred".