9929525743225 has 243 divisors, whose sum is σ = 14733006254029. Its totient is φ = 6632971030400.

The previous prime is 9929525743219. The next prime is 9929525743237. The reversal of 9929525743225 is 5223475259299.

The square root of 9929525743225 is 3151115.

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 74798421049 + 9854727322176 = 273493^2 + 3139224^2 .

It is not a de Polignac number, because 9929525743225 - 2⁷ = 9929525743097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 187349542299 + ... + 187349542351.

Almost surely, 2^{9929525743225} is an apocalyptic number.

9929525743225 is the 3151115-th square number.

9929525743225 is the 1575558-th centered octagonal number.

It is an amenable number.

9929525743225 is a deficient number, since it is larger than the sum of its proper divisors (4803480510804).

9929525743225 is a wasteful number, since it uses less digits than its factorization.

9929525743225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 64.

Multiplying 9929525743225 by its sum of digits (64), we get a square (635489647566400 = 25208920²).

The spelling of 9929525743225 in words is "nine trillion, nine hundred twenty-nine billion, five hundred twenty-five million, seven hundred forty-three thousand, two hundred twenty-five".