51629552 has 40 divisors (see below), whose sum is σ = 108170160. Its totient is φ = 23731200.

The previous prime is 51629551. The next prime is 51629573. The reversal of 51629552 is 25592615.

It is a super-2 number, since 2×51629552² = 5331221279441408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51629551) 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, 83099 + ... + 83717.

It is an arithmetic number, because the mean of its divisors is an integer number (2704254).

Almost surely, 2^51629552 is an apocalyptic number.

51629552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51629552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54085080).

51629552 is an abundant number, since it is smaller than the sum of its proper divisors (56540608).

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

51629552 is a wasteful number, since it uses less digits than its factorization.

51629552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1035 counting only the distinct ones).

The product of its digits is 27000, while the sum is 35.

The square root of 51629552 is about 7185.3706932906. The cubic root of 51629552 is about 372.3626555504.

The spelling of 51629552 in words is "fifty-one million, six hundred twenty-nine thousand, five hundred fifty-two".