51135630126 has 128 divisors (see below), whose sum is σ = 124234629120. Its totient is φ = 13706744832.

The previous prime is 51135630061. The next prime is 51135630137. The reversal of 51135630126 is 62103653115.

It is a super-2 number, since 2×51135630126² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47042355 + ... + 47043441.

It is an arithmetic number, because the mean of its divisors is an integer number (970583040).

Almost surely, 2^51135630126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51135630126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62117314560).

51135630126 is an abundant number, since it is smaller than the sum of its proper divisors (73098998994).

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

51135630126 is a wasteful number, since it uses less digits than its factorization.

51135630126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638.

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 51135630126 in words is "fifty-one billion, one hundred thirty-five million, six hundred thirty thousand, one hundred twenty-six".