9358025509921 has 81 divisors (see below), whose sum is σ = 10796003961561. Its totient is φ = 8105362214400.

The previous prime is 9358025509907. The next prime is 9358025509951. The reversal of 9358025509921 is 1299055208539.

The square root of 9358025509921 is 3059089.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3473694526225 + 5884330983696 = 1863785^2 + 2425764^2 .

It is a de Polignac number, because none of the positive numbers 2^k-9358025509921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9358025509901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 96474489745 + ... + 96474489841.

Almost surely, 2^{9358025509921} is an apocalyptic number.

9358025509921 is the 3059089-th square number.

9358025509921 is the 1529545-th centered octagonal number.

It is an amenable number.

9358025509921 is a deficient number, since it is larger than the sum of its proper divisors (1437978451640).

9358025509921 is an frugal number, since it uses more digits than its factorization.

9358025509921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 58.

The spelling of 9358025509921 in words is "nine trillion, three hundred fifty-eight billion, twenty-five million, five hundred nine thousand, nine hundred twenty-one".