1004903997601 has 27 divisors (see below), whose sum is σ = 1186254342387. Its totient is φ = 848793617280.

The previous prime is 1004903997589. The next prime is 1004903997607. The reversal of 1004903997601 is 1067993094001.

The square root of 1004903997601 is 1002449.

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., 849964144225 + 154939853376 = 921935^2 + 393624^2 .

It is not a de Polignac number, because 1004903997601 - 2²³ = 1004895608993 is a prime.

It is a super-2 number, since 2×1004903997601² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004903997607) 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 26 ways as a sum of consecutive naturals, for example, 498216145 + ... + 498218161.

Almost surely, 2^{1004903997601} is an apocalyptic number.

1004903997601 is the 1002449-th square number.

1004903997601 is the 501225-th centered octagonal number.

It is an amenable number.

1004903997601 is a deficient number, since it is larger than the sum of its proper divisors (181350344786).

1004903997601 is an frugal number, since it uses more digits than its factorization.

1004903997601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 49.

Multiplying 1004903997601 by its sum of digits (49), we get a square (49240295882449 = 7017143²).

1004903997601 divided by its sum of digits (49) gives a square (20508244849 = 143207²).

The spelling of 1004903997601 in words is "one trillion, four billion, nine hundred three million, nine hundred ninety-seven thousand, six hundred one".