9807250512409 has 27 divisors (see below), whose sum is σ = 11442682002591. Its totient is φ = 8381055024720.

The previous prime is 9807250512407. The next prime is 9807250512421. The reversal of 9807250512409 is 9042150527089.

The square root of 9807250512409 is 3131653.

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., 1308742864009 + 8498507648400 = 1144003^2 + 2915220^2 .

It is not a de Polignac number, because 9807250512409 - 2¹ = 9807250512407 is a prime.

It is a super-2 number, since 2×9807250512409² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9807250512407) 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, 13832510947 + ... + 13832511655.

It is an arithmetic number, because the mean of its divisors is an integer number (423803037133).

Almost surely, 2^{9807250512409} is an apocalyptic number.

9807250512409 is the 3131653-rd square number.

9807250512409 is the 1565827-th centered octagonal number.

It is an amenable number.

9807250512409 is a deficient number, since it is larger than the sum of its proper divisors (1635431490182).

9807250512409 is an frugal number, since it uses more digits than its factorization.

9807250512409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 9807250512409 in words is "nine trillion, eight hundred seven billion, two hundred fifty million, five hundred twelve thousand, four hundred nine".