963434513209 has 9 divisors (see below), whose sum is σ = 1120737936591. Its totient is φ = 825795122040.

The previous prime is 963434513189. The next prime is 963434513219. The reversal of 963434513209 is 902315434369.

The square root of 963434513209 is 981547.

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

It can be written as a sum of positive squares in only one way, i.e., 247210823209 + 716223690000 = 497203^2 + 846300^2 .

It is not a de Polignac number, because 963434513209 - 2⁵ = 963434513177 is a prime.

It is a super-2 number, since 2×963434513209² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (963434513219) 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, 6800719 + ... + 6940939.

It is an arithmetic number, because the mean of its divisors is an integer number (124526437399).

Almost surely, 2^963434513209 is an apocalyptic number.

963434513209 is the 981547-th square number.

963434513209 is the 490774-th centered octagonal number.

It is an amenable number.

963434513209 is a deficient number, since it is larger than the sum of its proper divisors (157303423382).

963434513209 is an frugal number, since it uses more digits than its factorization.

963434513209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280456 (or 140228 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 49.

Multiplying 963434513209 by its sum of digits (49), we get a square (47208291147241 = 6870829²).

963434513209 divided by its sum of digits (49) gives a square (19661928841 = 140221²).

The spelling of 963434513209 in words is "nine hundred sixty-three billion, four hundred thirty-four million, five hundred thirteen thousand, two hundred nine".