52095360 has 128 divisors (see below), whose sum is σ = 170184960. Its totient is φ = 13547520.

The previous prime is 52095341. The next prime is 52095367. The reversal of 52095360 is 6359025.

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

It is a super-3 number, since 3×52095360³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52095367) 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, 82245 + ... + 82875.

It is an arithmetic number, because the mean of its divisors is an integer number (1329570).

Almost surely, 2^52095360 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 52095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85092480).

52095360 is an abundant number, since it is smaller than the sum of its proper divisors (118089600).

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

52095360 is a wasteful number, since it uses less digits than its factorization.

52095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 52095360 is about 7217.7115486836. The cubic root of 52095360 is about 373.4791380601.

The spelling of 52095360 in words is "fifty-two million, ninety-five thousand, three hundred sixty".