552585252801 has 32 divisors (see below), whose sum is σ = 745965326080. Its totient is φ = 363818822400.

The previous prime is 552585252797. The next prime is 552585252809. The reversal of 552585252801 is 108252585255.

It is not a de Polignac number, because 552585252801 - 2² = 552585252797 is a prime.

It is a super-2 number, since 2×552585252801² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (552585252809) 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 31 ways as a sum of consecutive naturals, for example, 331086795 + ... + 331088463.

It is an arithmetic number, because the mean of its divisors is an integer number (23311416440).

Almost surely, 2^552585252801 is an apocalyptic number.

It is an amenable number.

552585252801 is a deficient number, since it is larger than the sum of its proper divisors (193380073279).

552585252801 is a wasteful number, since it uses less digits than its factorization.

552585252801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057.

The product of its (nonzero) digits is 1600000, while the sum is 48.

The spelling of 552585252801 in words is "five hundred fifty-two billion, five hundred eighty-five million, two hundred fifty-two thousand, eight hundred one".