9875496961 has 8 divisors (see below), whose sum is σ = 10792143648. Its totient is φ = 8961996000.

The previous prime is 9875496923. The next prime is 9875496971. The reversal of 9875496961 is 1696945789.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9875496961 - 2¹⁷ = 9875365889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9875496893 and 9875496902.

It is not an unprimeable number, because it can be changed into a prime (9875496971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 779860 + ... + 792421.

It is an arithmetic number, because the mean of its divisors is an integer number (1349017956).

Almost surely, 2^9875496961 is an apocalyptic number.

It is an amenable number.

9875496961 is a deficient number, since it is larger than the sum of its proper divisors (916646687).

9875496961 is a wasteful number, since it uses less digits than its factorization.

9875496961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572863.

The product of its digits is 29393280, while the sum is 64.

The square root of 9875496961 is about 99375.5350224591. The cubic root of 9875496961 is about 2145.4562024512.

The spelling of 9875496961 in words is "nine billion, eight hundred seventy-five million, four hundred ninety-six thousand, nine hundred sixty-one".