1003408900209 has 27 divisors (see below), whose sum is σ = 1497769474617. Its totient is φ = 647300478600.

The previous prime is 1003408900181. The next prime is 1003408900381. The reversal of 1003408900209 is 9020098043001.

The square root of 1003408900209 is 1001703.

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

1003408900209 is a `hidden beast` number, since 100 + 340 + 8 + 9 + 0 + 0 + 209 = 666.

It is not a de Polignac number, because 1003408900209 - 2⁹ = 1003408899697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003408904209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93152994 + ... + 93163764.

Almost surely, 2^{1003408900209} is an apocalyptic number.

1003408900209 is the 1001703-rd square number.

1003408900209 is the 500852-nd centered octagonal number.

It is an amenable number.

1003408900209 is a deficient number, since it is larger than the sum of its proper divisors (494360574408).

1003408900209 is an frugal number, since it uses more digits than its factorization.

1003408900209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21610 (or 10805 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 1003408900209 by its sum of digits (36), we get a square (36122720407524 = 6010218²).

The spelling of 1003408900209 in words is "one trillion, three billion, four hundred eight million, nine hundred thousand, two hundred nine".