1009321641 has 28 divisors (see below), whose sum is σ = 1550245620. Its totient is φ = 656449920.

The previous prime is 1009321639. The next prime is 1009321657. The reversal of 1009321641 is 1461239001.

1009321641 is a `hidden beast` number, since 10 + 0 + 9 + 3 + 2 + 1 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 412252416 + 597069225 = 20304^2 + 24435^2 .

It is not a de Polignac number, because 1009321641 - 2¹ = 1009321639 is a prime.

It is a super-3 number, since 3×1009321641³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1009321661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13005 + ... + 46773.

It is an arithmetic number, because the mean of its divisors is an integer number (55365915).

Almost surely, 2^1009321641 is an apocalyptic number.

It is an amenable number.

1009321641 is a deficient number, since it is larger than the sum of its proper divisors (540923979).

1009321641 is an frugal number, since it uses more digits than its factorization.

1009321641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33828 (or 33813 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1009321641 is about 31769.8228040384. The cubic root of 1009321641 is about 1003.0976085804.

The spelling of 1009321641 in words is "one billion, nine million, three hundred twenty-one thousand, six hundred forty-one".