52613280 has 192 divisors, whose sum is σ = 194140800. Its totient is φ = 13271040.

The previous prime is 52613273. The next prime is 52613287. The reversal of 52613280 is 8231625.

52613280 is a `hidden beast` number, since 526 + 132 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52613273) and next prime (52613287).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52613287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81760 + ... + 82400.

It is an arithmetic number, because the mean of its divisors is an integer number (1011150).

Almost surely, 2^52613280 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 52613280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97070400).

52613280 is an abundant number, since it is smaller than the sum of its proper divisors (141527520).

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

52613280 is a wasteful number, since it uses less digits than its factorization.

52613280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52613280 is about 7253.5012235471. The cubic root of 52613280 is about 374.7127400074.

The spelling of 52613280 in words is "fifty-two million, six hundred thirteen thousand, two hundred eighty".