552309031296 has 384 divisors, whose sum is σ = 1892681481600. Its totient is φ = 158555750400.

The previous prime is 552309031187. The next prime is 552309031331. The reversal of 552309031296 is 692130903255.

552309031296 is a `hidden beast` number, since 5 + 52 + 309 + 0 + 3 + 1 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×552309031296² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6458256 + ... + 6543216.

It is an arithmetic number, because the mean of its divisors is an integer number (4928858025).

Almost surely, 2^552309031296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552309031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946340740800).

552309031296 is an abundant number, since it is smaller than the sum of its proper divisors (1340372450304).

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

552309031296 is a wasteful number, since it uses less digits than its factorization.

552309031296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85020 (or 84996 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 552309031296 in words is "five hundred fifty-two billion, three hundred nine million, thirty-one thousand, two hundred ninety-six".