1051987200 has 432 divisors, whose sum is σ = 4023867456. Its totient is φ = 239206400.

The previous prime is 1051987141. The next prime is 1051987207. The reversal of 1051987200 is 27891501.

It is a super-3 number, since 3×1051987200³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051987207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3590254 + ... + 3590546.

It is an arithmetic number, because the mean of its divisors is an integer number (9314508).

Almost surely, 2^1051987200 is an apocalyptic number.

1051987200 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 1051987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011933728).

1051987200 is an abundant number, since it is smaller than the sum of its proper divisors (2971880256).

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

1051987200 is a wasteful number, since it uses less digits than its factorization.

1051987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 1051987200 is about 32434.3521594004. The cubic root of 1051987200 is about 1017.0371536351.

The spelling of 1051987200 in words is "one billion, fifty-one million, nine hundred eighty-seven thousand, two hundred".