51506592 has 48 divisors (see below), whose sum is σ = 136543680. Its totient is φ = 16998912.

The previous prime is 51506569. The next prime is 51506621. The reversal of 51506592 is 29560515.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7284 + ... + 12492.

It is an arithmetic number, because the mean of its divisors is an integer number (2844660).

Almost surely, 2^51506592 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 51506592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68271840).

51506592 is an abundant number, since it is smaller than the sum of its proper divisors (85037088).

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

51506592 is a wasteful number, since it uses less digits than its factorization.

51506592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 51506592 is about 7176.8093189105. The cubic root of 51506592 is about 372.0668165332.

The spelling of 51506592 in words is "fifty-one million, five hundred six thousand, five hundred ninety-two".