51016024521630 has 480 divisors, whose sum is σ = 158991376642560. Its totient is φ = 11498025116160.

The previous prime is 51016024521601. The next prime is 51016024521659. The reversal of 51016024521630 is 3612542061015.

51016024521630 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 602 + 4 + 5 + 2 + 16 + 30 = 666.

51016024521630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51016024521601) and next prime (51016024521659).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18818155975 + ... + 18818158685.

It is an arithmetic number, because the mean of its divisors is an integer number (331232034672).

Almost surely, 2^{51016024521630} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51016024521630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79495688321280).

51016024521630 is an abundant number, since it is smaller than the sum of its proper divisors (107975352120930).

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

51016024521630 is a wasteful number, since it uses less digits than its factorization.

51016024521630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 51016024521630 its reverse (3612542061015), we get a palindrome (54628566582645).

The spelling of 51016024521630 in words is "fifty-one trillion, sixteen billion, twenty-four million, five hundred twenty-one thousand, six hundred thirty".