9929126025 has 243 divisors, whose sum is σ = 22712553279. Its totient is φ = 4132477440.

The previous prime is 9929125933. The next prime is 9929126027. The reversal of 9929126025 is 5206219299.

The square root of 9929126025 is 99645.

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

9929126025 is a `hidden beast` number, since 9 + 9 + 29 + 12 + 602 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 8942160969 + 986965056 = 94563^2 + 31416^2 .

It is not a de Polignac number, because 9929126025 - 2¹³ = 9929117833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9929126027) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 136015389 + ... + 136015461.

Almost surely, 2^9929126025 is an apocalyptic number.

9929126025 is the 99645-th square number.

9929126025 is the 49823-rd centered octagonal number.

It is an amenable number.

9929126025 is an abundant number, since it is smaller than the sum of its proper divisors (12783427254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9929126025 is a wasteful number, since it uses less digits than its factorization.

9929126025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The cubic root of 9929126025 is about 2149.3328396887.

It can be divided in two parts, 99291 and 26025, that added together give a square (125316 = 354²).

The spelling of 9929126025 in words is "nine billion, nine hundred twenty-nine million, one hundred twenty-six thousand, twenty-five".