10186130565 has 64 divisors (see below), whose sum is σ = 20528121600. Its totient is φ = 4750762752.

The previous prime is 10186130561. The next prime is 10186130597. The reversal of 10186130565 is 56503168101.

10186130565 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 61 + 30 + 565 = 666.

It is not a de Polignac number, because 10186130565 - 2² = 10186130561 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10186130561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119394 + ... + 186083.

It is an arithmetic number, because the mean of its divisors is an integer number (320751900).

Almost surely, 2^10186130565 is an apocalyptic number.

10186130565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10186130565 is an abundant number, since it is smaller than the sum of its proper divisors (10341991035).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10186130565 is a wasteful number, since it uses less digits than its factorization.

10186130565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305523 (or 305517 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 10186130565 its reverse (56503168101), we get a palindrome (66689298666).

The spelling of 10186130565 in words is "ten billion, one hundred eighty-six million, one hundred thirty thousand, five hundred sixty-five".