9956247961 has 27 divisors (see below), whose sum is σ = 11239677183. Its totient is φ = 8812657920.

The previous prime is 9956247953. The next prime is 9956247979. The reversal of 9956247961 is 1697426599.

The square root of 9956247961 is 99781.

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

It can be written as a sum of positive squares in only one way, i.e., 2412283225 + 7543964736 = 49115^2 + 86856^2 .

It is not a de Polignac number, because 9956247961 - 2³ = 9956247953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9956247896 and 9956247905.

It is not an unprimeable number, because it can be changed into a prime (9956247901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51586681 + ... + 51586873.

Almost surely, 2^9956247961 is an apocalyptic number.

9956247961 is the 99781-st square number.

9956247961 is the 49891-st centered octagonal number.

It is an amenable number.

9956247961 is a deficient number, since it is larger than the sum of its proper divisors (1283429222).

9956247961 is an equidigital number, since it uses as much as digits as its factorization.

9956247961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 58.

The cubic root of 9956247961 is about 2151.2880661673.

The spelling of 9956247961 in words is "nine billion, nine hundred fifty-six million, two hundred forty-seven thousand, nine hundred sixty-one".