961582272605 has 18 divisors (see below), whose sum is σ = 1217879399898. Its totient is φ = 728746568640.

The previous prime is 961582272569. The next prime is 961582272641. The reversal of 961582272605 is 506272285169.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (961582272569) and next prime (961582272641).

It can be written as a sum of positive squares in 3 ways, for example, as 89187044164 + 872395228441 = 298642^2 + 934021^2 .

It is not a de Polignac number, because 961582272605 - 2¹⁰ = 961582271581 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41649665 + ... + 41672745.

It is an arithmetic number, because the mean of its divisors is an integer number (67659966661).

Almost surely, 2^961582272605 is an apocalyptic number.

961582272605 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

961582272605 is a deficient number, since it is larger than the sum of its proper divisors (256297127293).

961582272605 is an frugal number, since it uses more digits than its factorization.

961582272605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46205 (or 23105 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 961582272605 in words is "nine hundred sixty-one billion, five hundred eighty-two million, two hundred seventy-two thousand, six hundred five".