1604082601 has 15 divisors (see below), whose sum is σ = 1769826765. Its totient is φ = 1453851300.

The previous prime is 1604082559. The next prime is 1604082611. The reversal of 1604082601 is 1062804061.

The square root of 1604082601 is 40051.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1604082601 - 2⁹ = 1604082089 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 1604082601.

It is not an unprimeable number, because it can be changed into a prime (1604082611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4846006 + ... + 4846336.

It is an arithmetic number, because the mean of its divisors is an integer number (117988451).

Almost surely, 2^1604082601 is an apocalyptic number.

1604082601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1604082601 is the 40051-st square number.

1604082601 is the 20026-th centered octagonal number.

It is an amenable number.

1604082601 is a deficient number, since it is larger than the sum of its proper divisors (165744164).

1604082601 is an frugal number, since it uses more digits than its factorization.

1604082601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The cubic root of 1604082601 is about 1170.6010501755.

Multiplying 1604082601 by its product of nonzero digits (2304), we get a square (3695806312704 = 1922448²).

Adding to 1604082601 its reverse (1062804061), we get a palindrome (2666886662).

The spelling of 1604082601 in words is "one billion, six hundred four million, eighty-two thousand, six hundred one".