1306404033 has 64 divisors (see below), whose sum is σ = 2075673600. Its totient is φ = 722304000.

The previous prime is 1306404031. The next prime is 1306404037. The reversal of 1306404033 is 3304046031.

It is not a de Polignac number, because 1306404033 - 2¹ = 1306404031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1306403994 and 1306404012.

It is not an unprimeable number, because it can be changed into a prime (1306404031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2287638 + ... + 2288208.

It is an arithmetic number, because the mean of its divisors is an integer number (32432400).

Almost surely, 2^1306404033 is an apocalyptic number.

It is an amenable number.

1306404033 is a deficient number, since it is larger than the sum of its proper divisors (769269567).

1306404033 is a wasteful number, since it uses less digits than its factorization.

1306404033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1306404033 is about 36144.2116112663. The cubic root of 1306404033 is about 1093.1820806179.

It can be divided in two parts, 130640403 and 3, that multiplied together give a square (391921209 = 19797²).

The spelling of 1306404033 in words is "one billion, three hundred six million, four hundred four thousand, thirty-three".