962661209409 has 27 divisors (see below), whose sum is σ = 1444037665603. Its totient is φ = 641721157344.

The previous prime is 962661209401. The next prime is 962661209423. The reversal of 962661209409 is 904902166269.

It is a happy number.

The square root of 962661209409 is 981153.

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

962661209409 is a `hidden beast` number, since 9 + 6 + 26 + 6 + 1 + 209 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 294963041025 + 667698168384 = 543105^2 + 817128^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 962661209409 - 2³ = 962661209401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (962661209401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79467337 + ... + 79479449.

Almost surely, 2^962661209409 is an apocalyptic number.

962661209409 is the 981153-rd square number.

962661209409 is the 490577-th centered octagonal number.

It is an amenable number.

962661209409 is a deficient number, since it is larger than the sum of its proper divisors (481376456194).

962661209409 is an frugal number, since it uses more digits than its factorization.

962661209409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24250 (or 12116 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 962661209409 in words is "nine hundred sixty-two billion, six hundred sixty-one million, two hundred nine thousand, four hundred nine".