51133632 has 168 divisors, whose sum is σ = 155667456. Its totient is φ = 14784000.

The previous prime is 51133609. The next prime is 51133633. The reversal of 51133632 is 23633115.

It is a happy number.

It is a super-2 number, since 2×51133632² = 5229296643022848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (51133633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720157 + ... + 720227.

It is an arithmetic number, because the mean of its divisors is an integer number (926592).

Almost surely, 2^51133632 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 51133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77833728).

51133632 is an abundant number, since it is smaller than the sum of its proper divisors (104533824).

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

51133632 is a wasteful number, since it uses less digits than its factorization.

51133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 51133632 is about 7150.7784191653. The cubic root of 51133632 is about 371.1665930598.

Adding to 51133632 its reverse (23633115), we get a palindrome (74766747).

It can be divided in two parts, 511 and 33632, that added together give a palindrome (34143).

The spelling of 51133632 in words is "fifty-one million, one hundred thirty-three thousand, six hundred thirty-two".