52088127 has 48 divisors (see below), whose sum is σ = 88214112. Its totient is φ = 27095040.

The previous prime is 52088107. The next prime is 52088129. The reversal of 52088127 is 72188025.

It is not a de Polignac number, because 52088127 - 2¹⁴ = 52071743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52088129) 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, 185227 + ... + 185507.

It is an arithmetic number, because the mean of its divisors is an integer number (1837794).

Almost surely, 2^52088127 is an apocalyptic number.

52088127 is a deficient number, since it is larger than the sum of its proper divisors (36125985).

52088127 is a wasteful number, since it uses less digits than its factorization.

52088127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 52088127 is about 7217.2104721977. The cubic root of 52088127 is about 373.4618524539.

The spelling of 52088127 in words is "fifty-two million, eighty-eight thousand, one hundred twenty-seven".