964392741225 has 135 divisors (see below), whose sum is σ = 1810866620277. Its totient is φ = 507389987520.

The previous prime is 964392741203. The next prime is 964392741239. The reversal of 964392741225 is 522147293469.

It is a happy number.

The square root of 964392741225 is 982035.

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

964392741225 is a `hidden beast` number, since 9 + 64 + 392 + 74 + 122 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116637959529 + 847754781696 = 341523^2 + 920736^2 .

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

It is not a de Polignac number, because 964392741225 - 2¹³ = 964392733033 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6142628847 + ... + 6142629003.

Almost surely, 2^964392741225 is an apocalyptic number.

964392741225 is the 982035-th square number.

964392741225 is the 491018-th centered octagonal number.

It is an amenable number.

964392741225 is a deficient number, since it is larger than the sum of its proper divisors (846473879052).

964392741225 is an equidigital number, since it uses as much as digits as its factorization.

964392741225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 304 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 964392741225 in words is "nine hundred sixty-four billion, three hundred ninety-two million, seven hundred forty-one thousand, two hundred twenty-five".