5061005600 has 72 divisors (see below), whose sum is σ = 14120221248. Its totient is φ = 1735200000.

The previous prime is 5061005597. The next prime is 5061005603. The reversal of 5061005600 is 65001605.

It is an interprime number because it is at equal distance from previous prime (5061005597) and next prime (5061005603).

It is a super-2 number, since 2×5061005600² = 51227555366462720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5061005603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 446276 + ... + 457475.

It is an arithmetic number, because the mean of its divisors is an integer number (196114184).

Almost surely, 2^5061005600 is an apocalyptic number.

5061005600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5061005600 is an abundant number, since it is smaller than the sum of its proper divisors (9059215648).

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

5061005600 is a wasteful number, since it uses less digits than its factorization.

5061005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903778 (or 903765 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 5061005600 is about 71140.7450059388. The cubic root of 5061005600 is about 1716.9023930334.

It can be divided in two parts, 5061005 and 600, that added together give a palindrome (5061605).

The spelling of 5061005600 in words is "five billion, sixty-one million, five thousand, six hundred".