9985560351 has 32 divisors (see below), whose sum is σ = 15192914688. Its totient is φ = 5779207680.

The previous prime is 9985560349. The next prime is 9985560353. The reversal of 9985560351 is 1530655899.

It is an interprime number because it is at equal distance from previous prime (9985560349) and next prime (9985560353).

It is not a de Polignac number, because 9985560351 - 2¹ = 9985560349 is a prime.

It is a super-2 number, since 2×9985560351² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 9985560294 and 9985560303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985560353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1036780 + ... + 1046366.

It is an arithmetic number, because the mean of its divisors is an integer number (474778584).

Almost surely, 2^9985560351 is an apocalyptic number.

9985560351 is the 53414-th nonagonal number.

9985560351 is a deficient number, since it is larger than the sum of its proper divisors (5207354337).

9985560351 is a wasteful number, since it uses less digits than its factorization.

9985560351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11191.

The product of its (nonzero) digits is 1458000, while the sum is 51.

The square root of 9985560351 is about 99927.7756732331. The cubic root of 9985560351 is about 2153.3972144882.

The spelling of 9985560351 in words is "nine billion, nine hundred eighty-five million, five hundred sixty thousand, three hundred fifty-one".