51580350 has 72 divisors (see below), whose sum is σ = 140350392. Its totient is φ = 13579200.

The previous prime is 51580343. The next prime is 51580351. The reversal of 51580350 is 5308515.

51580350 is a `hidden beast` number, since 51 + 580 + 35 + 0 = 666.

It is a super-2 number, since 2×51580350² = 5321065012245000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51580351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36660 + ... + 38040.

It is an arithmetic number, because the mean of its divisors is an integer number (1949311).

Almost surely, 2^51580350 is an apocalyptic number.

51580350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51580350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70175196).

51580350 is an abundant number, since it is smaller than the sum of its proper divisors (88770042).

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

51580350 is a wasteful number, since it uses less digits than its factorization.

51580350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 51580350 is about 7181.9461150861. The cubic root of 51580350 is about 372.2443330677.

Adding to 51580350 its reverse (5308515), we get a palindrome (56888865).

The spelling of 51580350 in words is "fifty-one million, five hundred eighty thousand, three hundred fifty".