9960505951 has 24 divisors (see below), whose sum is σ = 11180669472. Its totient is φ = 8864697600.

The previous prime is 9960505937. The next prime is 9960505979. The reversal of 9960505951 is 1595050699.

It is not a de Polignac number, because 9960505951 - 2²¹ = 9958408799 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9960505895 and 9960505904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9960505901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206006 + ... + 1214236.

It is an arithmetic number, because the mean of its divisors is an integer number (465861228).

Almost surely, 2^9960505951 is an apocalyptic number.

9960505951 is a deficient number, since it is larger than the sum of its proper divisors (1220163521).

9960505951 is a wasteful number, since it uses less digits than its factorization.

9960505951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8463 (or 8452 counting only the distinct ones).

The product of its (nonzero) digits is 546750, while the sum is 49.

The square root of 9960505951 is about 99802.3343965461. The cubic root of 9960505951 is about 2151.5947030174.

It can be divided in two parts, 996050 and 5951, that added together give a palindrome (1002001).

The spelling of 9960505951 in words is "nine billion, nine hundred sixty million, five hundred five thousand, nine hundred fifty-one".