51985152 has 180 divisors, whose sum is σ = 163233840. Its totient is φ = 16422912.

The previous prime is 51985097. The next prime is 51985163. The reversal of 51985152 is 25158915.

It is a happy number.

51985152 is a `hidden beast` number, since 51 + 98 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476874 + ... + 476982.

Almost surely, 2^51985152 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 51985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81616920).

51985152 is an abundant number, since it is smaller than the sum of its proper divisors (111248688).

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

51985152 is a wasteful number, since it uses less digits than its factorization.

51985152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

The square root of 51985152 is about 7210.0729538611. The cubic root of 51985152 is about 373.2155864501.

The spelling of 51985152 in words is "fifty-one million, nine hundred eighty-five thousand, one hundred fifty-two".