5101056000 has 624 divisors, whose sum is σ = 19534945248. Its totient is φ = 1327104000.

The previous prime is 5101055977. The next prime is 5101056017. The reversal of 5101056000 is 6501015.

5101056000 is a `hidden beast` number, since 5 + 101 + 0 + 560 + 0 + 0 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124415980 + ... + 124416020.

It is an arithmetic number, because the mean of its divisors is an integer number (31306002).

Almost surely, 2^5101056000 is an apocalyptic number.

5101056000 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 5101056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767472624).

5101056000 is an abundant number, since it is smaller than the sum of its proper divisors (14433889248).

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

5101056000 is an frugal number, since it uses more digits than its factorization.

5101056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 5101056000 is about 71421.6773815905. The cubic root of 5101056000 is about 1721.4194160213.

Adding to 5101056000 its reverse (6501015), we get a palindrome (5107557015).

The spelling of 5101056000 in words is "five billion, one hundred one million, fifty-six thousand".