52671905 has 48 divisors (see below), whose sum is σ = 77265552. Its totient is φ = 34214400.

The previous prime is 52671901. The next prime is 52671919. The reversal of 52671905 is 50917625.

52671905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7203856 + 45468049 = 2684^2 + 6743^2 .

It is not a de Polignac number, because 52671905 - 2² = 52671901 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52671901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290915 + ... + 291095.

It is an arithmetic number, because the mean of its divisors is an integer number (1609699).

Almost surely, 2^52671905 is an apocalyptic number.

52671905 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52671905 is a deficient number, since it is larger than the sum of its proper divisors (24593647).

52671905 is a wasteful number, since it uses less digits than its factorization.

52671905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 52671905 is about 7257.5412503134. The cubic root of 52671905 is about 374.8518644530.

The spelling of 52671905 in words is "fifty-two million, six hundred seventy-one thousand, nine hundred five".