5207629056 has 288 divisors, whose sum is σ = 16512249600. Its totient is φ = 1455906816.

The previous prime is 5207629043. The next prime is 5207629087. The reversal of 5207629056 is 6509267025.

It is a super-3 number, since 3×5207629056³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5207628999 and 5207629017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13961286 + ... + 13961658.

It is an arithmetic number, because the mean of its divisors is an integer number (57334200).

Almost surely, 2^5207629056 is an apocalyptic number.

5207629056 is a gapful number since it is divisible by the number (56) 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 5207629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256124800).

5207629056 is an abundant number, since it is smaller than the sum of its proper divisors (11304620544).

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

5207629056 is an equidigital number, since it uses as much as digits as its factorization.

5207629056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 5207629056 is about 72163.9041072474. The cubic root of 5207629056 is about 1733.3250513740.

The spelling of 5207629056 in words is "five billion, two hundred seven million, six hundred twenty-nine thousand, fifty-six".