51165408 has 144 divisors (see below), whose sum is σ = 159440400. Its totient is φ = 14321664.

The previous prime is 51165391. The next prime is 51165467. The reversal of 51165408 is 80456115.

It is a Cunningham number, because it is equal to 7153²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343318 + ... + 343466.

It is an arithmetic number, because the mean of its divisors is an integer number (1107225).

Almost surely, 2^51165408 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 51165408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79720200).

51165408 is an abundant number, since it is smaller than the sum of its proper divisors (108274992).

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

51165408 is a wasteful number, since it uses less digits than its factorization.

51165408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 51165408 is about 7152.9999300993. Note that the first 4 decimals coincide. The cubic root of 51165408 is about 371.2434618899.

The spelling of 51165408 in words is "fifty-one million, one hundred sixty-five thousand, four hundred eight".