961610006049 has 144 divisors (see below), whose sum is σ = 1663038715968. Its totient is φ = 488678400000.

The previous prime is 961610006011. The next prime is 961610006053. The reversal of 961610006049 is 940600016169.

It is not a de Polignac number, because 961610006049 - 2¹³ = 961609997857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 961610006049.

It is not an unprimeable number, because it can be changed into a prime (961610006099) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1600016349 + ... + 1600016949.

It is an arithmetic number, because the mean of its divisors is an integer number (11548879972).

Almost surely, 2^961610006049 is an apocalyptic number.

It is an amenable number.

961610006049 is a deficient number, since it is larger than the sum of its proper divisors (701428709919).

961610006049 is a wasteful number, since it uses less digits than its factorization.

961610006049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 961610006049 in words is "nine hundred sixty-one billion, six hundred ten million, six thousand, forty-nine".