9561906225 has 135 divisors (see below), whose sum is σ = 18503491699. Its totient is φ = 4881427200.

The previous prime is 9561906217. The next prime is 9561906229. The reversal of 9561906225 is 5226091659.

It is a happy number.

The square root of 9561906225 is 97785.

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

9561906225 is a `hidden beast` number, since 9 + 5 + 6 + 19 + 0 + 622 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 8681953329 + 879952896 = 93177^2 + 29664^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 9561906225 - 2³ = 9561906217 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9561906229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 180413299 + ... + 180413351.

Almost surely, 2^9561906225 is an apocalyptic number.

9561906225 is the 97785-th square number.

9561906225 is the 48893-rd centered octagonal number.

It is an amenable number.

9561906225 is a deficient number, since it is larger than the sum of its proper divisors (8941585474).

9561906225 is an equidigital number, since it uses as much as digits as its factorization.

9561906225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The cubic root of 9561906225 is about 2122.5022537403.

The spelling of 9561906225 in words is "nine billion, five hundred sixty-one million, nine hundred six thousand, two hundred twenty-five".