61053216 has 72 divisors (see below), whose sum is σ = 186444720. Its totient is φ = 17442432.

The previous prime is 61053193. The next prime is 61053221. The reversal of 61053216 is 61235016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1786 + ... + 11193.

It is an arithmetic number, because the mean of its divisors is an integer number (2589510).

Almost surely, 2^61053216 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 61053216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93222360).

61053216 is an abundant number, since it is smaller than the sum of its proper divisors (125391504).

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

61053216 is a wasteful number, since it uses less digits than its factorization.

61053216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13006 (or 12991 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 61053216 is about 7813.6557385132. The cubic root of 61053216 is about 393.7641575156.

The spelling of 61053216 in words is "sixty-one million, fifty-three thousand, two hundred sixteen".