10632610313 has 8 divisors (see below), whose sum is σ = 11487090888. Its totient is φ = 9783356544.

The previous prime is 10632610217. The next prime is 10632610327. The reversal of 10632610313 is 31301623601.

It can be written as a sum of positive squares in 4 ways, for example, as 37613689 + 10594996624 = 6133^2 + 102932^2 .

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

It is not a de Polignac number, because 10632610313 - 2¹⁶ = 10632544777 is a prime.

It is a super-2 number, since 2×10632610313² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10632610333) 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 7 ways as a sum of consecutive naturals, for example, 1302470 + ... + 1310607.

It is an arithmetic number, because the mean of its divisors is an integer number (1435886361).

Almost surely, 2^10632610313 is an apocalyptic number.

10632610313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10632610313 is a deficient number, since it is larger than the sum of its proper divisors (854480575).

10632610313 is a wasteful number, since it uses less digits than its factorization.

10632610313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613403.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 10632610313 in words is "ten billion, six hundred thirty-two million, six hundred ten thousand, three hundred thirteen".