1005221252160 has 168 divisors, whose sum is σ = 3522779446680. Its totient is φ = 263001243648.

The previous prime is 1005221252117. The next prime is 1005221252201. The reversal of 1005221252160 is 612521225001.

1005221252160 is a `hidden beast` number, since 1 + 0 + 0 + 522 + 125 + 2 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 343940023296 + 661281228864 = 586464^2 + 813192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3140145 + ... + 3445424.

Almost surely, 2^{1005221252160} is an apocalyptic number.

1005221252160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005221252160 is an abundant number, since it is smaller than the sum of its proper divisors (2517558194520).

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

1005221252160 is a wasteful number, since it uses less digits than its factorization.

1005221252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585645 (or 6585632 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1005221252160 its reverse (612521225001), we get a palindrome (1617742477161).

The spelling of 1005221252160 in words is "one trillion, five billion, two hundred twenty-one million, two hundred fifty-two thousand, one hundred sixty".