52611120 has 200 divisors, whose sum is σ = 191210976. Its totient is φ = 13381632.

The previous prime is 52611113. The next prime is 52611131. The reversal of 52611120 is 2111625.

52611120 is a `hidden beast` number, since 52 + 611 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52611093 and 52611102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148864 + ... + 149216.

Almost surely, 2^52611120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52611120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95605488).

52611120 is an abundant number, since it is smaller than the sum of its proper divisors (138599856).

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

52611120 is a wasteful number, since it uses less digits than its factorization.

52611120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 52611120 is about 7253.3523284065. The cubic root of 52611120 is about 374.7076120841.

Adding to 52611120 its reverse (2111625), we get a palindrome (54722745).

The spelling of 52611120 in words is "fifty-two million, six hundred eleven thousand, one hundred twenty".