51638334 has 64 divisors (see below), whose sum is σ = 116640000. Its totient is φ = 15107840.

The previous prime is 51638309. The next prime is 51638339. The reversal of 51638334 is 43383615.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 51638295 and 51638304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51638339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346492 + ... + 346640.

It is an arithmetic number, because the mean of its divisors is an integer number (1822500).

Almost surely, 2^51638334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51638334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58320000).

51638334 is an abundant number, since it is smaller than the sum of its proper divisors (65001666).

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

51638334 is a wasteful number, since it uses less digits than its factorization.

51638334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313.

The product of its digits is 25920, while the sum is 33.

The square root of 51638334 is about 7185.9817700854. The cubic root of 51638334 is about 372.3837668669.

The spelling of 51638334 in words is "fifty-one million, six hundred thirty-eight thousand, three hundred thirty-four".