1604278093201 has 15 divisors (see below), whose sum is σ = 1871618819451. Its totient is φ = 1375042311216.

The previous prime is 1604278093151. The next prime is 1604278093211. The reversal of 1604278093201 is 1023908724061.

The square root of 1604278093201 is 1266601.

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

It can be written as a sum of positive squares in only one way, i.e., 20908870801 + 1583369222400 = 144599^2 + 1258320^2 .

It is not a de Polignac number, because 1604278093201 - 2¹⁵ = 1604278060433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1604278093211) 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, 62050525 + ... + 62076373.

Almost surely, 2^{1604278093201} is an apocalyptic number.

1604278093201 is the 1266601-st square number.

1604278093201 is the 633301-st centered octagonal number.

It is an amenable number.

1604278093201 is a deficient number, since it is larger than the sum of its proper divisors (267340726250).

1604278093201 is an frugal number, since it uses more digits than its factorization.

1604278093201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51726 (or 25856 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 1604278093201 in words is "one trillion, six hundred four billion, two hundred seventy-eight million, ninety-three thousand, two hundred one".