961000000000000 has 507 divisors, whose sum is σ = 2482196958415803. Its totient is φ = 372000000000000.

The previous prime is 960999999999989. The next prime is 961000000000067. The reversal of 961000000000000 is 169.

The square root of 961000000000000 is 31000000.

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

It can be written as a sum of positive squares in 6 ways, for example, as 543726885474304 + 417273114525696 = 23317952^2 + 20427264^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 30999999999985 + ... + 31000000000015.

Almost surely, 2^{961000000000000} is an apocalyptic number.

961000000000000 is the 31000000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961000000000000

961000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (1521196958415803).

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

961000000000000 is an frugal number, since it uses more digits than its factorization.

961000000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

961000000000000 divided by its sum of digits (16) gives a square (60062500000000 = 7750000²).

Adding to 961000000000000 its reverse (169), we get a palindrome (961000000000169).

The spelling of 961000000000000 in words is "nine hundred sixty-one trillion", and thus it is an aban number.