553513564065 has 144 divisors (see below), whose sum is σ = 1137164555520. Its totient is φ = 229060339200.

The previous prime is 553513563973. The next prime is 553513564103. The reversal of 553513564065 is 560465315355.

It is not a de Polignac number, because 553513564065 - 2⁷ = 553513563937 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21242445 + ... + 21268485.

It is an arithmetic number, because the mean of its divisors is an integer number (7896976080).

Almost surely, 2^553513564065 is an apocalyptic number.

553513564065 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

553513564065 is an abundant number, since it is smaller than the sum of its proper divisors (583650991455).

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

553513564065 is a wasteful number, since it uses less digits than its factorization.

553513564065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26324 (or 26306 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 48.

The spelling of 553513564065 in words is "five hundred fifty-three billion, five hundred thirteen million, five hundred sixty-four thousand, sixty-five".