5005061000 has 64 divisors (see below), whose sum is σ = 11730728880. Its totient is φ = 1998796800.

The previous prime is 5005060969. The next prime is 5005061057. The reversal of 5005061000 is 1605005.

It can be written as a sum of positive squares in 8 ways, for example, as 583608964 + 4421452036 = 24158^2 + 66494^2 .

It is a super-2 number, since 2×5005061000² = 50101271227442000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5005061000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673304 + ... + 680696.

Almost surely, 2^5005061000 is an apocalyptic number.

5005061000 is a gapful number since it is divisible by the number (50) 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 5005061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865364440).

5005061000 is an abundant number, since it is smaller than the sum of its proper divisors (6725667880).

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

5005061000 is a wasteful number, since it uses less digits than its factorization.

5005061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8091 (or 8077 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5005061000 is about 70746.4557416130. The cubic root of 5005061000 is about 1710.5526980090.

Adding to 5005061000 its reverse (1605005), we get a palindrome (5006666005).

The spelling of 5005061000 in words is "five billion, five million, sixty-one thousand".