51588150 has 48 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 13689760.

The previous prime is 51588139. The next prime is 51588161. The reversal of 51588150 is 5188515.

It is an interprime number because it is at equal distance from previous prime (51588139) and next prime (51588161).

It is a super-2 number, since 2×51588150² = 5322674440845000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35131 + ... + 36569.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2^51588150 is an apocalyptic number.

51588150 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 51588150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

51588150 is an abundant number, since it is smaller than the sum of its proper divisors (76975050).

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

51588150 is a wasteful number, since it uses less digits than its factorization.

51588150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 33.

The square root of 51588150 is about 7182.4891228598. The cubic root of 51588150 is about 372.2630957648.

The spelling of 51588150 in words is "fifty-one million, five hundred eighty-eight thousand, one hundred fifty".