961109324253 has 80 divisors (see below), whose sum is σ = 1563658395376. Its totient is φ = 584775106560.

The previous prime is 961109324239. The next prime is 961109324267. The reversal of 961109324253 is 352423901169.

961109324253 is a `hidden beast` number, since 9 + 61 + 10 + 9 + 324 + 253 = 666.

It is an interprime number because it is at equal distance from previous prime (961109324239) and next prime (961109324267).

It can be written as a sum of positive squares in 8 ways, for example, as 16640226009 + 944469098244 = 128997^2 + 971838^2 .

It is not a de Polignac number, because 961109324253 - 2¹³ = 961109316061 is a prime.

It is a super-2 number, since 2×961109324253² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 961109324199 and 961109324208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961109324233) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117764493 + ... + 117772653.

Almost surely, 2^961109324253 is an apocalyptic number.

It is an amenable number.

961109324253 is a deficient number, since it is larger than the sum of its proper divisors (602549071123).

961109324253 is a wasteful number, since it uses less digits than its factorization.

961109324253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9436 (or 9427 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 961109324253 in words is "nine hundred sixty-one billion, one hundred nine million, three hundred twenty-four thousand, two hundred fifty-three".