1604431125 has 128 divisors (see below), whose sum is σ = 3378585600. Its totient is φ = 743688000.

The previous prime is 1604431123. The next prime is 1604431261. The reversal of 1604431125 is 5211344061.

It is a happy number.

1604431125 is a `hidden beast` number, since 1 + 604 + 4 + 31 + 1 + 25 = 666.

It is not a de Polignac number, because 1604431125 - 2¹ = 1604431123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604431121) 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 127 ways as a sum of consecutive naturals, for example, 852936 + ... + 854814.

It is an arithmetic number, because the mean of its divisors is an integer number (26395200).

Almost surely, 2^1604431125 is an apocalyptic number.

1604431125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1604431125 is an abundant number, since it is smaller than the sum of its proper divisors (1774154475).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1604431125 is a wasteful number, since it uses less digits than its factorization.

1604431125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1604431125 is about 40055.3507661586. The cubic root of 1604431125 is about 1170.6858240759.

Adding to 1604431125 its reverse (5211344061), we get a palindrome (6815775186).

The spelling of 1604431125 in words is "one billion, six hundred four million, four hundred thirty-one thousand, one hundred twenty-five".