552075264 has 200 divisors, whose sum is σ = 1776286050. Its totient is φ = 169869312.

The previous prime is 552075259. The next prime is 552075269. The reversal of 552075264 is 462570255.

552075264 is a `hidden beast` number, since 5 + 520 + 75 + 2 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (552075259) and next prime (552075269).

It can be written as a sum of positive squares in only one way, i.e., 530841600 + 21233664 = 23040^2 + 4608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (552075269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42467322 + ... + 42467334.

Almost surely, 2^552075264 is an apocalyptic number.

552075264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888143025).

552075264 is an abundant number, since it is smaller than the sum of its proper divisors (1224210786).

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

552075264 is an frugal number, since it uses more digits than its factorization.

552075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 552075264 is about 23496.2819186356. The cubic root of 552075264 is about 820.3504668860.

The spelling of 552075264 in words is "five hundred fifty-two million, seventy-five thousand, two hundred sixty-four".