51535872 has 112 divisors (see below), whose sum is σ = 153344880. Its totient is φ = 17104896.

The previous prime is 51535867. The next prime is 51535877. The reversal of 51535872 is 27853515.

51535872 is a `hidden beast` number, since 51 + 535 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (51535867) and next prime (51535877).

It is a super-2 number, since 2×51535872² = 5311892205600768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51535877) 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, 221068 + ... + 221300.

Almost surely, 2^51535872 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 51535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76672440).

51535872 is an abundant number, since it is smaller than the sum of its proper divisors (101809008).

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

51535872 is an equidigital number, since it uses as much as digits as its factorization.

51535872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 51535872 is about 7178.8489328025. The cubic root of 51535872 is about 372.1373062335.

It can be divided in two parts, 5153 and 5872, that added together give a square (11025 = 105²).

The spelling of 51535872 in words is "fifty-one million, five hundred thirty-five thousand, eight hundred seventy-two".