51138167262 has 192 divisors, whose sum is σ = 138058712064. Its totient is φ = 12254054400.

The previous prime is 51138167239. The next prime is 51138167287. The reversal of 51138167262 is 26276183115.

It is a happy number.

It is a super-2 number, since 2×51138167262² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7802887 + ... + 7809437.

It is an arithmetic number, because the mean of its divisors is an integer number (719055792).

Almost surely, 2^51138167262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51138167262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69029356032).

51138167262 is an abundant number, since it is smaller than the sum of its proper divisors (86920544802).

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

51138167262 is a wasteful number, since it uses less digits than its factorization.

51138167262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6651 (or 6622 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The spelling of 51138167262 in words is "fifty-one billion, one hundred thirty-eight million, one hundred sixty-seven thousand, two hundred sixty-two".