9906641325 has 288 divisors, whose sum is σ = 22531891200. Its totient is φ = 4059072000.

The previous prime is 9906641321. The next prime is 9906641357. The reversal of 9906641325 is 5231466099.

It is not a de Polignac number, because 9906641325 - 2² = 9906641321 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9906641321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54732735 + ... + 54732915.

Almost surely, 2^9906641325 is an apocalyptic number.

9906641325 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9906641325 is an abundant number, since it is smaller than the sum of its proper divisors (12625249875).

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

9906641325 is a wasteful number, since it uses less digits than its factorization.

9906641325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 9906641325 is about 99532.1120292341. The cubic root of 9906641325 is about 2147.7092114135.

The spelling of 9906641325 in words is "nine billion, nine hundred six million, six hundred forty-one thousand, three hundred twenty-five".