51581952 has 132 divisors (see below), whose sum is σ = 154876020. Its totient is φ = 16515072.

The previous prime is 51581951. The next prime is 51581963. The reversal of 51581952 is 25918515.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 32080896 = 4416^2 + 5664^2 .

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 (51581951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267168 + ... + 267360.

Almost surely, 2^51581952 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 51581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77438010).

51581952 is an abundant number, since it is smaller than the sum of its proper divisors (103294068).

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

51581952 is a wasteful number, since it uses less digits than its factorization.

51581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

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

The square root of 51581952 is about 7182.0576438789. The cubic root of 51581952 is about 372.2481867914.

The spelling of 51581952 in words is "fifty-one million, five hundred eighty-one thousand, nine hundred fifty-two".