1009054305 has 36 divisors (see below), whose sum is σ = 2034587412. Its totient is φ = 461280960.

The previous prime is 1009054303. The next prime is 1009054307. The reversal of 1009054305 is 5034509001.

It is an interprime number because it is at equal distance from previous prime (1009054303) and next prime (1009054307).

It can be written as a sum of positive squares in 2 ways, for example, as 189778176 + 819276129 = 13776^2 + 28623^2 .

It is not a de Polignac number, because 1009054305 - 2¹ = 1009054303 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1009054301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226606 + ... + 231015.

It is an arithmetic number, because the mean of its divisors is an integer number (56516317).

Almost surely, 2^1009054305 is an apocalyptic number.

1009054305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1009054305 is an abundant number, since it is smaller than the sum of its proper divisors (1025533107).

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

1009054305 is a wasteful number, since it uses less digits than its factorization.

1009054305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457646 (or 457636 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1009054305 is about 31765.6151364963. The cubic root of 1009054305 is about 1003.0090382737.

The spelling of 1009054305 in words is "one billion, nine million, fifty-four thousand, three hundred five".