52592000 has 128 divisors (see below), whose sum is σ = 138434400. Its totient is φ = 19814400.

The previous prime is 52591997. The next prime is 52592003. The reversal of 52592000 is 29525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52591997) and next prime (52592003).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52592003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303914 + ... + 304086.

Almost surely, 2^52592000 is an apocalyptic number.

52592000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69217200).

52592000 is an abundant number, since it is smaller than the sum of its proper divisors (85842400).

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

52592000 is a wasteful number, since it uses less digits than its factorization.

52592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 52592000 is about 7252.0341973821. The cubic root of 52592000 is about 374.6622143455.

It can be divided in two parts, 5 and 2592000, that multiplied together give a 4-th power (12960000 = 60⁴).

The spelling of 52592000 in words is "fifty-two million, five hundred ninety-two thousand".