51156126 has 48 divisors (see below), whose sum is σ = 130107744. Its totient is φ = 14219712.

The previous prime is 51156121. The next prime is 51156143. The reversal of 51156126 is 62165115.

It is a happy number.

It is a super-4 number, since 4×51156126⁴ (a number of 32 digits) contains 4444 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51156126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51156121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825 + ... + 10148.

It is an arithmetic number, because the mean of its divisors is an integer number (2710578).

Almost surely, 2^51156126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51156126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65053872).

51156126 is an abundant number, since it is smaller than the sum of its proper divisors (78951618).

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

51156126 is a wasteful number, since it uses less digits than its factorization.

51156126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11025 (or 11022 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 51156126 is about 7152.3510819870. The cubic root of 51156126 is about 371.2210112385.

The spelling of 51156126 in words is "fifty-one million, one hundred fifty-six thousand, one hundred twenty-six".