1002551200 has 144 divisors (see below), whose sum is σ = 2961935424. Its totient is φ = 323481600.

The previous prime is 1002551189. The next prime is 1002551201. The reversal of 1002551200 is 21552001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1002551201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89935 + ... + 100465.

It is an arithmetic number, because the mean of its divisors is an integer number (20568996).

Almost surely, 2^1002551200 is an apocalyptic number.

1002551200 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 1002551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480967712).

1002551200 is an abundant number, since it is smaller than the sum of its proper divisors (1959384224).

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

1002551200 is a wasteful number, since it uses less digits than its factorization.

1002551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10575 (or 10562 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1002551200 is about 31663.0889206976. The cubic root of 1002551200 is about 1000.8496778431.

The spelling of 1002551200 in words is "one billion, two million, five hundred fifty-one thousand, two hundred".