360003600009 has 45 divisors (see below), whose sum is σ = 542428903863. Its totient is φ = 237946789728.

The previous prime is 360003599983. The next prime is 360003600031. The reversal of 360003600009 is 900006300063.

The square root of 360003600009 is 600003.

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., 329013518409 + 30990081600 = 573597^2 + 176040^2 .

It is not a de Polignac number, because 360003600009 - 2¹⁵ = 360003567241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (360003600059) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 880204197 + ... + 880204605.

Almost surely, 2^360003600009 is an apocalyptic number.

360003600009 is the 600003-rd square number.

360003600009 is the 300002-nd centered octagonal number.

It is an amenable number.

360003600009 is a deficient number, since it is larger than the sum of its proper divisors (182425303854).

360003600009 is an frugal number, since it uses more digits than its factorization.

360003600009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 360003600009 in words is "three hundred sixty billion, three million, six hundred thousand, nine".