51530002130000 has 100 divisors (see below), whose sum is σ = 124765539122400. Its totient is φ = 20610968112000.

The previous prime is 51530002129993. The next prime is 51530002130003. The reversal of 51530002130000 is 3120003515.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×51530002130000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51530002130003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 217871807 + ... + 218108193.

It is an arithmetic number, because the mean of its divisors is an integer number (1247655391224).

Almost surely, 2^{51530002130000} is an apocalyptic number.

51530002130000 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 51530002130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62382769561200).

51530002130000 is an abundant number, since it is smaller than the sum of its proper divisors (73235536992400).

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

51530002130000 is a wasteful number, since it uses less digits than its factorization.

51530002130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258214 (or 258193 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 51530002130000 its reverse (3120003515), we get a palindrome (51533122133515).

The spelling of 51530002130000 in words is "fifty-one trillion, five hundred thirty billion, two million, one hundred thirty thousand".