51515152 has 40 divisors (see below), whose sum is σ = 109539864. Its totient is φ = 23322624.

The previous prime is 51515129. The next prime is 51515159. The reversal of 51515152 is 25151515.

It can be written as a sum of positive squares in 4 ways, for example, as 16516096 + 34999056 = 4064^2 + 5916^2 .

It is not an unprimeable number, because it can be changed into a prime (51515159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8688 + ... + 13360.

Almost surely, 2^51515152 is an apocalyptic number.

51515152 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 51515152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54769932).

51515152 is an abundant number, since it is smaller than the sum of its proper divisors (58024712).

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

51515152 is a wasteful number, since it uses less digits than its factorization.

51515152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4747 (or 4741 counting only the distinct ones).

The product of its digits is 1250, while the sum is 25.

The square root of 51515152 is about 7177.4056594288. The cubic root of 51515152 is about 372.0874269405.

Adding to 51515152 its reverse (25151515), we get a palindrome (76666667).

The spelling of 51515152 in words is "fifty-one million, five hundred fifteen thousand, one hundred fifty-two".