5035005000 has 240 divisors, whose sum is σ = 17462144700. Its totient is φ = 1309440000.

The previous prime is 5035004993. The next prime is 5035005007. The reversal of 5035005000 is 5005305.

It is an interprime number because it is at equal distance from previous prime (5035004993) and next prime (5035005007).

It can be written as a sum of positive squares in 10 ways, for example, as 355624164 + 4679380836 = 18858^2 + 68406^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5035005007) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1843636 + ... + 1846364.

Almost surely, 2^5035005000 is an apocalyptic number.

5035005000 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 5035005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731072350).

5035005000 is an abundant number, since it is smaller than the sum of its proper divisors (12427139700).

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

5035005000 is a wasteful number, since it uses less digits than its factorization.

5035005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 5035005000 is about 70957.7691306597. The cubic root of 5035005000 is about 1713.9571840674.

The spelling of 5035005000 in words is "five billion, thirty-five million, five thousand".