5000051001000 has 512 divisors, whose sum is σ = 17937971251200. Its totient is φ = 1146804480000.

The previous prime is 5000051000977. The next prime is 5000051001007. The reversal of 5000051001000 is 1001500005.

It is a super-2 number, since 2×5000051001000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (5000051001007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 508492084 + ... + 508501916.

It is an arithmetic number, because the mean of its divisors is an integer number (35035100100).

Almost surely, 2^{5000051001000} is an apocalyptic number.

5000051001000 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 5000051001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8968985625600).

5000051001000 is an abundant number, since it is smaller than the sum of its proper divisors (12937920250200).

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

5000051001000 is a wasteful number, since it uses less digits than its factorization.

5000051001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10698 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

Adding to 5000051001000 its reverse (1001500005), we get a palindrome (5001052501005).

The spelling of 5000051001000 in words is "five trillion, fifty-one million, one thousand".