1009288379101 has 8 divisors (see below), whose sum is σ = 1068948983160. Its totient is φ = 949660075008.

The previous prime is 1009288379083. The next prime is 1009288379129. The reversal of 1009288379101 is 1019738829001.

It can be written as a sum of positive squares in 4 ways, for example, as 774882315076 + 234406064025 = 880274^2 + 484155^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1009288379101 - 2⁹ = 1009288378589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009288379401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8010636 + ... + 8135653.

It is an arithmetic number, because the mean of its divisors is an integer number (133618622895).

Almost surely, 2^{1009288379101} is an apocalyptic number.

It is an amenable number.

1009288379101 is a deficient number, since it is larger than the sum of its proper divisors (59660604059).

1009288379101 is a wasteful number, since it uses less digits than its factorization.

1009288379101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16149983.

The product of its (nonzero) digits is 217728, while the sum is 49.

The spelling of 1009288379101 in words is "one trillion, nine billion, two hundred eighty-eight million, three hundred seventy-nine thousand, one hundred one".