1003905806401 has 9 divisors (see below), whose sum is σ = 1037366607459. Its totient is φ = 971491689600.

The previous prime is 1003905806399. The next prime is 1003905806437. The reversal of 1003905806401 is 1046085093001.

The square root of 1003905806401 is 1001951.

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., 366207732801 + 637698073600 = 605151^2 + 798560^2 .

It is not a de Polignac number, because 1003905806401 - 2¹ = 1003905806399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003905806201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31044321 + ... + 31076641.

Almost surely, 2^{1003905806401} is an apocalyptic number.

1003905806401 is the 1001951-st square number.

1003905806401 is the 500976-th centered octagonal number.

It is an amenable number.

1003905806401 is a deficient number, since it is larger than the sum of its proper divisors (33460801058).

1003905806401 is an frugal number, since it uses more digits than its factorization.

1003905806401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64704 (or 32352 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 1003905806401 in words is "one trillion, three billion, nine hundred five million, eight hundred six thousand, four hundred one".