1503681705009 has 27 divisors (see below), whose sum is σ = 2387452374489. Its totient is φ = 911297720520.

The previous prime is 1503681704977. The next prime is 1503681705013. The reversal of 1503681705009 is 9005071863051.

It is a happy number.

The square root of 1503681705009 is 1226247.

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

1503681705009 is a `hidden beast` number, since 15 + 0 + 3 + 68 + 1 + 70 + 500 + 9 = 666.

It is not a de Polignac number, because 1503681705009 - 2⁵ = 1503681704977 is a prime.

It is a super-2 number, since 2×1503681705009² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1503681705059) 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, 40447572 + ... + 40484730.

Almost surely, 2^{1503681705009} is an apocalyptic number.

1503681705009 is the 1226247-th square number.

1503681705009 is the 613124-th centered octagonal number.

It is an amenable number.

1503681705009 is a deficient number, since it is larger than the sum of its proper divisors (883770669480).

1503681705009 is an frugal number, since it uses more digits than its factorization.

1503681705009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74346 (or 37173 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 1503681705009 in words is "one trillion, five hundred three billion, six hundred eighty-one million, seven hundred five thousand, nine".