52588032 has 160 divisors (see below), whose sum is σ = 164727552. Its totient is φ = 14598144.

The previous prime is 52588027. The next prime is 52588037. The reversal of 52588032 is 23088525.

It is an interprime number because it is at equal distance from previous prime (52588027) and next prime (52588037).

It is a super-2 number, since 2×52588032² = 5531002219266048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52587984 and 52588002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52588037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720348 + ... + 720420.

Almost surely, 2^52588032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52588032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82363776).

52588032 is an abundant number, since it is smaller than the sum of its proper divisors (112139520).

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

52588032 is an equidigital number, since it uses as much as digits as its factorization.

52588032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 52588032 is about 7251.7606138096. The cubic root of 52588032 is about 374.6527915115.

The spelling of 52588032 in words is "fifty-two million, five hundred eighty-eight thousand, thirty-two".