9952952321 has 12 divisors (see below), whose sum is σ = 11006773632. Its totient is φ = 8991858096.

The previous prime is 9952952299. The next prime is 9952952327. The reversal of 9952952321 is 1232592599.

It is not a de Polignac number, because 9952952321 - 2⁶ = 9952952257 is a prime.

It is a super-2 number, since 2×9952952321² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9952952327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618581 + ... + 634466.

It is an arithmetic number, because the mean of its divisors is an integer number (917231136).

It is a Proth number, since it is equal to 75935 ⋅ 2¹⁷ + 1 and 75935 < 2¹⁷.

Almost surely, 2^9952952321 is an apocalyptic number.

It is an amenable number.

9952952321 is a deficient number, since it is larger than the sum of its proper divisors (1053821311).

9952952321 is a wasteful number, since it uses less digits than its factorization.

9952952321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253120 (or 1253107 counting only the distinct ones).

The product of its digits is 437400, while the sum is 47.

The square root of 9952952321 is about 99764.4842666968. The cubic root of 9952952321 is about 2151.0506724070.

The spelling of 9952952321 in words is "nine billion, nine hundred fifty-two million, nine hundred fifty-two thousand, three hundred twenty-one".