10637653321 has 9 divisors (see below), whose sum is σ = 11302068999. Its totient is φ = 10010258784.

The previous prime is 10637653297. The next prime is 10637653333. The reversal of 10637653321 is 12335673601.

The square root of 10637653321 is 103139.

It is a perfect power (a square), and thus also a powerful number.

10637653321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8281910025 + 2355743296 = 91005^2 + 48536^2 .

It is not a de Polignac number, because 10637653321 - 2⁵ = 10637653289 is a prime.

It is a super-2 number, since 2×10637653321² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10637650321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1750330 + ... + 1756396.

Almost surely, 2^10637653321 is an apocalyptic number.

10637653321 is the 103139-th square number.

10637653321 is the 51570-th centered octagonal number.

It is an amenable number.

10637653321 is a deficient number, since it is larger than the sum of its proper divisors (664415678).

10637653321 is an frugal number, since it uses more digits than its factorization.

10637653321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 10637653321 in words is "ten billion, six hundred thirty-seven million, six hundred fifty-three thousand, three hundred twenty-one".