961546942225 has 9 divisors (see below), whose sum is σ = 1192324288017. Its totient is φ = 769233631440.

The previous prime is 961546942133. The next prime is 961546942273. The reversal of 961546942225 is 522249645169.

It is a happy number.

The square root of 961546942225 is 980585.

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 7768130769 + 953778811456 = 88137^2 + 976616^2 .

It is not a de Polignac number, because 961546942225 - 2³³ = 952957007633 is a prime.

It is a super-3 number, since 3×961546942225³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4804867 + ... + 5000983.

Almost surely, 2^961546942225 is an apocalyptic number.

961546942225 is the 980585-th square number.

961546942225 is the 490293-rd centered octagonal number.

It is an amenable number.

961546942225 is a deficient number, since it is larger than the sum of its proper divisors (230777345792).

961546942225 is an frugal number, since it uses more digits than its factorization.

961546942225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392244 (or 196122 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 55.

The spelling of 961546942225 in words is "nine hundred sixty-one billion, five hundred forty-six million, nine hundred forty-two thousand, two hundred twenty-five".