1005201288 has 384 divisors, whose sum is σ = 3564288000. Its totient is φ = 254016000.

The previous prime is 1005201283. The next prime is 1005201341. The reversal of 1005201288 is 8821025001.

1005201288 is a `hidden beast` number, since 10 + 0 + 520 + 128 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1005201283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9952438 + ... + 9952538.

It is an arithmetic number, because the mean of its divisors is an integer number (9282000).

Almost surely, 2^1005201288 is an apocalyptic number.

1005201288 is a gapful number since it is divisible by the number (18) 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 1005201288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782144000).

1005201288 is an abundant number, since it is smaller than the sum of its proper divisors (2559086712).

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

1005201288 is a wasteful number, since it uses less digits than its factorization.

1005201288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1005201288 is about 31704.9095251824. The cubic root of 1005201288 is about 1001.7307653896.

Adding to 1005201288 its reverse (8821025001), we get a palindrome (9826226289).

The spelling of 1005201288 in words is "one billion, five million, two hundred one thousand, two hundred eighty-eight".