9972603991249 has 9 divisors (see below), whose sum is σ = 10221903489819. Its totient is φ = 9729243429840.

The previous prime is 9972603991241. The next prime is 9972603991367. The reversal of 9972603991249 is 9421993062799.

The square root of 9972603991249 is 3157943.

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., 480535944849 + 9492068046400 = 693207^2 + 3080920^2 .

It is not a de Polignac number, because 9972603991249 - 2³ = 9972603991241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9972603991241) 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, 129437152 + ... + 129514174.

Almost surely, 2^{9972603991249} is an apocalyptic number.

9972603991249 is the 3157943-rd square number.

9972603991249 is the 1578972-nd centered octagonal number.

It is an amenable number.

9972603991249 is a deficient number, since it is larger than the sum of its proper divisors (249299498570).

9972603991249 is an frugal number, since it uses more digits than its factorization.

9972603991249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154128 (or 77064 counting only the distinct ones).

The product of its (nonzero) digits is 119042784, while the sum is 70.

The spelling of 9972603991249 in words is "nine trillion, nine hundred seventy-two billion, six hundred three million, nine hundred ninety-one thousand, two hundred forty-nine".