51110526012 has 288 divisors, whose sum is σ = 152696839680. Its totient is φ = 13020134400.

The previous prime is 51110526011. The next prime is 51110526013. The reversal of 51110526012 is 21062501115.

It is an interprime number because it is at equal distance from previous prime (51110526011) and next prime (51110526013).

It is a super-2 number, since 2×51110526012² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51110526011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61652814 + ... + 61653642.

It is an arithmetic number, because the mean of its divisors is an integer number (530197360).

Almost surely, 2^51110526012 is an apocalyptic number.

51110526012 is a gapful number since it is divisible by the number (52) 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 51110526012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76348419840).

51110526012 is an abundant number, since it is smaller than the sum of its proper divisors (101586313668).

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

51110526012 is a wasteful number, since it uses less digits than its factorization.

51110526012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 51110526012 in words is "fifty-one billion, one hundred ten million, five hundred twenty-six thousand, twelve".