5110213515000 has 640 divisors, whose sum is σ = 18565332192000. Its totient is φ = 1158046720000.

The previous prime is 5110213514957. The next prime is 5110213515023. The reversal of 5110213515000 is 5153120115.

It is a super-2 number, since 2×5110213515000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 417938887 + ... + 417951113.

It is an arithmetic number, because the mean of its divisors is an integer number (29008331550).

Almost surely, 2^{5110213515000} is an apocalyptic number.

5110213515000 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 5110213515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9282666096000).

5110213515000 is an abundant number, since it is smaller than the sum of its proper divisors (13455118677000).

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

5110213515000 is a wasteful number, since it uses less digits than its factorization.

5110213515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12433 (or 12414 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 5110213515000 its reverse (5153120115), we get a palindrome (5115366635115).

The spelling of 5110213515000 in words is "five trillion, one hundred ten billion, two hundred thirteen million, five hundred fifteen thousand".