966526900641 has 9 divisors (see below), whose sum is σ = 1396098672241. Its totient is φ = 644349300852.

The previous prime is 966526900621. The next prime is 966526900643. The reversal of 966526900641 is 146009625669.

The square root of 966526900641 is 983121.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 966526900641 - 2⁵ = 966526900609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (966526900643) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2785510 + ... + 3113216.

Almost surely, 2^966526900641 is an apocalyptic number.

966526900641 is the 983121-st square number.

966526900641 is the 491561-st centered octagonal number.

It is an amenable number.

966526900641 is a deficient number, since it is larger than the sum of its proper divisors (429571771600).

966526900641 is an frugal number, since it uses more digits than its factorization.

966526900641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655420 (or 327710 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 966526900641 in words is "nine hundred sixty-six billion, five hundred twenty-six million, nine hundred thousand, six hundred forty-one".