1603264972401 has 15 divisors (see below), whose sum is σ = 2395017784731. Its totient is φ = 1068835717728.

The previous prime is 1603264972381. The next prime is 1603264972459. The reversal of 1603264972401 is 1042794623061.

The square root of 1603264972401 is 1266201.

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

1603264972401 is a `hidden beast` number, since 1 + 60 + 3 + 264 + 97 + 240 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1600348972401 + 2916000000 = 1265049^2 + 54000^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1603264972401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1603264972481) 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 14 ways as a sum of consecutive naturals, for example, 11325465 + ... + 11466153.

Almost surely, 2^{1603264972401} is an apocalyptic number.

1603264972401 is the 1266201-st square number.

1603264972401 is the 633101-st centered octagonal number.

It is an amenable number.

1603264972401 is a deficient number, since it is larger than the sum of its proper divisors (791752812330).

1603264972401 is an frugal number, since it uses more digits than its factorization.

1603264972401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281390 (or 140692 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1603264972401 in words is "one trillion, six hundred three billion, two hundred sixty-four million, nine hundred seventy-two thousand, four hundred one".