51588390 has 128 divisors (see below), whose sum is σ = 150543360. Its totient is φ = 11063808.

The previous prime is 51588377. The next prime is 51588391. The reversal of 51588390 is 9388515.

It is a super-2 number, since 2×51588390² = 5322723965584200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51588391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261772 + ... + 261968.

It is an arithmetic number, because the mean of its divisors is an integer number (1176120).

Almost surely, 2^51588390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51588390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75271680).

51588390 is an abundant number, since it is smaller than the sum of its proper divisors (98954970).

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

51588390 is a wasteful number, since it uses less digits than its factorization.

51588390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286.

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 51588390 is about 7182.5058301403. The cubic root of 51588390 is about 372.2636730486.

The spelling of 51588390 in words is "fifty-one million, five hundred eighty-eight thousand, three hundred ninety".