51585114 has 64 divisors (see below), whose sum is σ = 125337600. Its totient is φ = 13825728.

The previous prime is 51585103. The next prime is 51585119. The reversal of 51585114 is 41158515.

It is a super-2 number, since 2×51585114² = 5322047972785992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51585119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101092 + ... + 101600.

It is an arithmetic number, because the mean of its divisors is an integer number (1958400).

Almost surely, 2^51585114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51585114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62668800).

51585114 is an abundant number, since it is smaller than the sum of its proper divisors (73752486).

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

51585114 is a wasteful number, since it uses less digits than its factorization.

51585114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667.

The product of its digits is 4000, while the sum is 30.

The square root of 51585114 is about 7182.2777724062. The cubic root of 51585114 is about 372.2557929706.

It can be divided in two parts, 5158511 and 4, that added together give a palindrome (5158515).

The spelling of 51585114 in words is "fifty-one million, five hundred eighty-five thousand, one hundred fourteen".