965005005055 has 96 divisors (see below), whose sum is σ = 1466455233600. Its totient is φ = 604195522560.

The previous prime is 965005005037. The next prime is 965005005067. The reversal of 965005005055 is 550500500569.

It is a de Polignac number, because none of the positive numbers 2^k-965005005055 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 965005004999 and 965005005017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279790971 + ... + 279794419.

It is an arithmetic number, because the mean of its divisors is an integer number (15275575350).

Almost surely, 2^965005005055 is an apocalyptic number.

965005005055 is a deficient number, since it is larger than the sum of its proper divisors (501450228545).

965005005055 is a wasteful number, since it uses less digits than its factorization.

965005005055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 168750, while the sum is 40.

The spelling of 965005005055 in words is "nine hundred sixty-five billion, five million, five thousand, fifty-five".