51249152 has 72 divisors (see below), whose sum is σ = 113245776. Its totient is φ = 23068672.

The previous prime is 51249131. The next prime is 51249167. The reversal of 51249152 is 25194215.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2228213 + ... + 2228235.

It is an arithmetic number, because the mean of its divisors is an integer number (1572858).

Almost surely, 2^51249152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56622888).

51249152 is an abundant number, since it is smaller than the sum of its proper divisors (61996624).

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

51249152 is an frugal number, since it uses more digits than its factorization.

51249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 42 counting only the distinct ones).

The product of its digits is 3600, while the sum is 29.

The square root of 51249152 is about 7158.8513045041. The cubic root of 51249152 is about 371.4458933595.

The spelling of 51249152 in words is "fifty-one million, two hundred forty-nine thousand, one hundred fifty-two".