9038963961 has 16 divisors (see below), whose sum is σ = 13618027200. Its totient is φ = 5923839744.

The previous prime is 9038963953. The next prime is 9038963963. The reversal of 9038963961 is 1693698309.

9038963961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9038963961 - 2³ = 9038963953 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9038963898 and 9038963907.

It is not an unprimeable number, because it can be changed into a prime (9038963963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2835496 + ... + 2838681.

It is an arithmetic number, because the mean of its divisors is an integer number (851126700).

Almost surely, 2^9038963961 is an apocalyptic number.

It is an amenable number.

9038963961 is a deficient number, since it is larger than the sum of its proper divisors (4579063239).

9038963961 is a wasteful number, since it uses less digits than its factorization.

9038963961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674245 (or 5674239 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 9038963961 is about 95073.4661248868. The cubic root of 9038963961 is about 2083.0812906027.

The spelling of 9038963961 in words is "nine billion, thirty-eight million, nine hundred sixty-three thousand, nine hundred sixty-one".