65537536009 has 45 divisors (see below), whose sum is σ = 78649529651. Its totient is φ = 54559359360.

The previous prime is 65537535983. The next prime is 65537536021. The reversal of 65537536009 is 90063573556.

The square root of 65537536009 is 256003.

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

It can be written as a sum of positive squares in 7 ways, for example, as 10908758025 + 54628777984 = 104445^2 + 233728^2 .

It is a de Polignac number, because none of the positive numbers 2^k-65537536009 is a prime.

It is a super-2 number, since 2×65537536009² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65537536039) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1771284739 + ... + 1771284775.

Almost surely, 2^65537536009 is an apocalyptic number.

65537536009 is the 256003-rd square number.

65537536009 is the 128002-nd centered octagonal number.

It is an amenable number.

65537536009 is a deficient number, since it is larger than the sum of its proper divisors (13111993642).

65537536009 is an frugal number, since it uses more digits than its factorization.

65537536009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 49.

Multiplying 65537536009 by its sum of digits (49), we get a square (3211339264441 = 1792021²).

The spelling of 65537536009 in words is "sixty-five billion, five hundred thirty-seven million, five hundred thirty-six thousand, nine".