1604526561 has 48 divisors (see below), whose sum is σ = 2591447040. Its totient is φ = 948324960.

The previous prime is 1604526557. The next prime is 1604526607. The reversal of 1604526561 is 1656254061.

1604526561 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1604526561 - 2² = 1604526557 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1604526061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1949196 + ... + 1950018.

It is an arithmetic number, because the mean of its divisors is an integer number (53988480).

Almost surely, 2^1604526561 is an apocalyptic number.

1604526561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1604526561 is a deficient number, since it is larger than the sum of its proper divisors (986920479).

1604526561 is a wasteful number, since it uses less digits than its factorization.

1604526561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1604526561 is about 40056.5420499573. The cubic root of 1604526561 is about 1170.7090354924.

The spelling of 1604526561 in words is "one billion, six hundred four million, five hundred twenty-six thousand, five hundred sixty-one".