51590430 has 48 divisors (see below), whose sum is σ = 134918784. Its totient is φ = 13677120.

The previous prime is 51590401. The next prime is 51590431. The reversal of 51590430 is 3409515.

51590430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51590394 and 51590403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51590431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14707 + ... + 17873.

It is an arithmetic number, because the mean of its divisors is an integer number (2810808).

It is a vampire number, since it can be written as 5430 ⋅ 9501 (with its own digits).

Almost surely, 2^51590430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51590430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67459392).

51590430 is an abundant number, since it is smaller than the sum of its proper divisors (83328354).

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

51590430 is a wasteful number, since it uses less digits than its factorization.

51590430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 51590430 is about 7182.6478404555. The cubic root of 51590430 is about 372.2685798883.

Adding to 51590430 its reverse (3409515), we get a palindrome (54999945).

The spelling of 51590430 in words is "fifty-one million, five hundred ninety thousand, four hundred thirty".