1506405601 has 8 divisors (see below), whose sum is σ = 1539224064. Its totient is φ = 1473619200.

The previous prime is 1506405587. The next prime is 1506405617. The reversal of 1506405601 is 1065046051.

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

It is not a de Polignac number, because 1506405601 - 2²⁵ = 1472851169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1506405601.

It is not an unprimeable number, because it can be changed into a prime (1506405301) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 103681 + ... + 117313.

It is an arithmetic number, because the mean of its divisors is an integer number (192403008).

Almost surely, 2^1506405601 is an apocalyptic number.

It is an amenable number.

1506405601 is a deficient number, since it is larger than the sum of its proper divisors (32818463).

1506405601 is a wasteful number, since it uses less digits than its factorization.

1506405601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16031.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1506405601 is about 38812.4413171859. The cubic root of 1506405601 is about 1146.3413913757.

The spelling of 1506405601 in words is "one billion, five hundred six million, four hundred five thousand, six hundred one".