1051255200 has 144 divisors (see below), whose sum is σ = 3449779200. Its totient is φ = 278046720.

The previous prime is 1051255189. The next prime is 1051255217. The reversal of 1051255200 is 25521501.

It is a super-3 number, since 3×1051255200³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 303076 + ... + 306524.

It is an arithmetic number, because the mean of its divisors is an integer number (23956800).

Almost surely, 2^1051255200 is an apocalyptic number.

1051255200 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 1051255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724889600).

1051255200 is an abundant number, since it is smaller than the sum of its proper divisors (2398524000).

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

1051255200 is a wasteful number, since it uses less digits than its factorization.

1051255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 1051255200 is about 32423.0658636718. The cubic root of 1051255200 is about 1016.8012052835.

Adding to 1051255200 its reverse (25521501), we get a palindrome (1076776701).

The spelling of 1051255200 in words is "one billion, fifty-one million, two hundred fifty-five thousand, two hundred".