51108252 has 96 divisors (see below), whose sum is σ = 138673920. Its totient is φ = 14515200.

The previous prime is 51108251. The next prime is 51108257. The reversal of 51108252 is 25280115.

It is a super-2 number, since 2×51108252² = 5224106844991008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51108251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127252 + ... + 127652.

It is an arithmetic number, because the mean of its divisors is an integer number (1444520).

Almost surely, 2^51108252 is an apocalyptic number.

51108252 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 51108252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69336960).

51108252 is an abundant number, since it is smaller than the sum of its proper divisors (87565668).

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

51108252 is a wasteful number, since it uses less digits than its factorization.

51108252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 51108252 is about 7149.0035669315. The cubic root of 51108252 is about 371.1051738153.

Adding to 51108252 its reverse (25280115), we get a palindrome (76388367).

It can be divided in two parts, 51108 and 252, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 51108252 in words is "fifty-one million, one hundred eight thousand, two hundred fifty-two".