52752105 has 48 divisors (see below), whose sum is σ = 110657664. Its totient is φ = 22694400.

The previous prime is 52752103. The next prime is 52752107. The reversal of 52752105 is 50125725.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52752103) and next prime (52752107).

It is not a de Polignac number, because 52752105 - 2¹ = 52752103 is a prime.

It is a super-3 number, since 3×52752105³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (52752103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430 + ... + 10280.

It is an arithmetic number, because the mean of its divisors is an integer number (2305368).

Almost surely, 2^52752105 is an apocalyptic number.

It is an amenable number.

52752105 is an abundant number, since it is smaller than the sum of its proper divisors (57905559).

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

52752105 is a wasteful number, since it uses less digits than its factorization.

52752105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9886 (or 9883 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 52752105 is about 7263.0644358976. The cubic root of 52752105 is about 375.0420219576.

The spelling of 52752105 in words is "fifty-two million, seven hundred fifty-two thousand, one hundred five".