9007338521 has 2 divisors, whose sum is σ = 9007338522. Its totient is φ = 9007338520.

The previous prime is 9007338511. The next prime is 9007338523. The reversal of 9007338521 is 1258337009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8851987225 + 155351296 = 94085^2 + 12464^2 .

It is a cyclic number.

It is not a de Polignac number, because 9007338521 - 2¹⁰ = 9007337497 is a prime.

It is a super-2 number, since 2×9007338521² (a number of 21 digits) contains 22 as substring.

Together with 9007338523, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (9007338523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4503669260 + 4503669261.

It is an arithmetic number, because the mean of its divisors is an integer number (4503669261).

Almost surely, 2^9007338521 is an apocalyptic number.

It is an amenable number.

9007338521 is a deficient number, since it is larger than the sum of its proper divisors (1).

9007338521 is an equidigital number, since it uses as much as digits as its factorization.

9007338521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 9007338521 is about 94906.9993256556. Note that the first 3 decimals coincide. The cubic root of 9007338521 is about 2080.6490301550.

The spelling of 9007338521 in words is "nine billion, seven million, three hundred thirty-eight thousand, five hundred twenty-one".