51086592 has 144 divisors (see below), whose sum is σ = 159432000. Its totient is φ = 16091136.

The previous prime is 51086561. The next prime is 51086593. The reversal of 51086592 is 29568015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51086593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131134 + ... + 131522.

Almost surely, 2^51086592 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 51086592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79716000).

51086592 is an abundant number, since it is smaller than the sum of its proper divisors (108345408).

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

51086592 is a wasteful number, since it uses less digits than its factorization.

51086592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 51086592 is about 7147.4885099593. The cubic root of 51086592 is about 371.0527408353.

The spelling of 51086592 in words is "fifty-one million, eighty-six thousand, five hundred ninety-two".