961303516029 has 32 divisors (see below), whose sum is σ = 1434245442560. Its totient is φ = 636335013744.

The previous prime is 961303516027. The next prime is 961303516031. The reversal of 961303516029 is 920615303169.

961303516029 is a `hidden beast` number, since 9 + 6 + 1 + 3 + 0 + 35 + 1 + 602 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (961303516027) and next prime (961303516031).

It is not a de Polignac number, because 961303516029 - 2¹ = 961303516027 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961303516027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4575522 + ... + 4781004.

It is an arithmetic number, because the mean of its divisors is an integer number (44820170080).

Almost surely, 2^961303516029 is an apocalyptic number.

It is an amenable number.

961303516029 is a deficient number, since it is larger than the sum of its proper divisors (472941926531).

961303516029 is a wasteful number, since it uses less digits than its factorization.

961303516029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206718 (or 206712 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 961303516029 in words is "nine hundred sixty-one billion, three hundred three million, five hundred sixteen thousand, twenty-nine".