1309408905 has 32 divisors (see below), whose sum is σ = 2395991808. Its totient is φ = 598176000.

The previous prime is 1309408897. The next prime is 1309408931. The reversal of 1309408905 is 5098049031.

It is not a de Polignac number, because 1309408905 - 2³ = 1309408897 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 192055 + ... + 198755.

It is an arithmetic number, because the mean of its divisors is an integer number (74874744).

Almost surely, 2^1309408905 is an apocalyptic number.

1309408905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1309408905 is a deficient number, since it is larger than the sum of its proper divisors (1086582903).

1309408905 is a wasteful number, since it uses less digits than its factorization.

1309408905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8577.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1309408905 is about 36185.7555538087. The cubic root of 1309408905 is about 1094.0195849003.

The spelling of 1309408905 in words is "one billion, three hundred nine million, four hundred eight thousand, nine hundred five".