961058406006 has 32 divisors (see below), whose sum is σ = 2136012042720. Its totient is φ = 320303797632.

The previous prime is 961058405999. The next prime is 961058406023. The reversal of 961058406006 is 600604850169.

961058406006 is a `hidden beast` number, since 9 + 6 + 1 + 0 + 584 + 0 + 60 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004095 + ... + 1711818.

It is an arithmetic number, because the mean of its divisors is an integer number (66750376335).

Almost surely, 2^961058406006 is an apocalyptic number.

961058406006 is an abundant number, since it is smaller than the sum of its proper divisors (1174953636714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961058406006 is a wasteful number, since it uses less digits than its factorization.

961058406006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722477 (or 2722471 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 961058406006 in words is "nine hundred sixty-one billion, fifty-eight million, four hundred six thousand, six".