51630131121264 has 240 divisors, whose sum is σ = 148556605197312. Its totient is φ = 16730984305152.

The previous prime is 51630131121229. The next prime is 51630131121277. The reversal of 51630131121264 is 46212113103615.

51630131121264 is a `hidden beast` number, since 5 + 1 + 63 + 0 + 1 + 311 + 21 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4189731007 + ... + 4189743329.

Almost surely, 2^{51630131121264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51630131121264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74278302598656).

51630131121264 is an abundant number, since it is smaller than the sum of its proper divisors (96926474076048).

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

51630131121264 is a wasteful number, since it uses less digits than its factorization.

51630131121264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16484 (or 16475 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 51630131121264 its reverse (46212113103615), we get a palindrome (97842244224879).

The spelling of 51630131121264 in words is "fifty-one trillion, six hundred thirty billion, one hundred thirty-one million, one hundred twenty-one thousand, two hundred sixty-four".