961162591321 has 9 divisors (see below), whose sum is σ = 987879332349. Its totient is φ = 935149929984.

The previous prime is 961162591297. The next prime is 961162591339. The reversal of 961162591321 is 123195261169.

It is a happy number.

The square root of 961162591321 is 980389.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 630974446921 + 330188144400 = 794339^2 + 574620^2 .

It is not a de Polignac number, because 961162591321 - 2¹⁷ = 961162460249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (961162591391) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36261145 + ... + 36287641.

It is an arithmetic number, because the mean of its divisors is an integer number (109764370261).

Almost surely, 2^961162591321 is an apocalyptic number.

961162591321 is the 980389-th square number.

961162591321 is the 490195-th centered octagonal number.

It is an amenable number.

961162591321 is a deficient number, since it is larger than the sum of its proper divisors (26716741028).

961162591321 is an frugal number, since it uses more digits than its factorization.

961162591321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53068 (or 26534 counting only the distinct ones).

The product of its digits is 174960, while the sum is 46.

The spelling of 961162591321 in words is "nine hundred sixty-one billion, one hundred sixty-two million, five hundred ninety-one thousand, three hundred twenty-one".