52618000 has 40 divisors (see below), whose sum is σ = 127235160. Its totient is φ = 21046400.

The previous prime is 52617979. The next prime is 52618003. The reversal of 52618000 is 81625.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10419984 + 42198016 = 3228^2 + 6496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (52618003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11155 + ... + 15154.

It is an arithmetic number, because the mean of its divisors is an integer number (3180879).

Almost surely, 2^52618000 is an apocalyptic number.

52618000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52618000 is an abundant number, since it is smaller than the sum of its proper divisors (74617160).

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

52618000 is a wasteful number, since it uses less digits than its factorization.

52618000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26332 (or 26316 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 52618000 is about 7253.8265763664. The cubic root of 52618000 is about 374.7239449810.

Adding to 52618000 its reverse (81625), we get a palindrome (52699625).

Subtracting from 52618000 its reverse (81625), we obtain a triangular number (52536375 = T₁₀₂₅₀).

The spelling of 52618000 in words is "fifty-two million, six hundred eighteen thousand".