1304008735 has 16 divisors (see below), whose sum is σ = 1576700640. Its totient is φ = 1035304960.

The previous prime is 1304008729. The next prime is 1304008781. The reversal of 1304008735 is 5378004031.

It is not a de Polignac number, because 1304008735 - 2¹³ = 1304000543 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1304008697 and 1304008706.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 572559 + ... + 574831.

It is an arithmetic number, because the mean of its divisors is an integer number (98543790).

Almost surely, 2^1304008735 is an apocalyptic number.

1304008735 is a deficient number, since it is larger than the sum of its proper divisors (272691905).

1304008735 is a wasteful number, since it uses less digits than its factorization.

1304008735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 1304008735 is about 36111.0611170594. The cubic root of 1304008735 is about 1092.5135536896.

The spelling of 1304008735 in words is "one billion, three hundred four million, eight thousand, seven hundred thirty-five".