54066375 has 96 divisors (see below), whose sum is σ = 113016384. Its totient is φ = 24576000.

The previous prime is 54066373. The next prime is 54066377. The reversal of 54066375 is 57366045.

It is an interprime number because it is at equal distance from previous prime (54066373) and next prime (54066377).

It is not a de Polignac number, because 54066375 - 2¹ = 54066373 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54066371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210247 + ... + 210503.

It is an arithmetic number, because the mean of its divisors is an integer number (1177254).

Almost surely, 2^54066375 is an apocalyptic number.

54066375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54066375 is an abundant number, since it is smaller than the sum of its proper divisors (58950009).

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

54066375 is a wasteful number, since it uses less digits than its factorization.

54066375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 54066375 is about 7352.9840881101. The cubic root of 54066375 is about 378.1311168557.

It can be divided in two parts, 5406 and 6375, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 54066375 in words is "fifty-four million, sixty-six thousand, three hundred seventy-five".