61493152 has 48 divisors (see below), whose sum is σ = 139007232. Its totient is φ = 26231040.

The previous prime is 61493111. The next prime is 61493227. The reversal of 61493152 is 25139416.

61493152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60198 + ... + 61210.

It is an arithmetic number, because the mean of its divisors is an integer number (2895984).

Almost surely, 2^61493152 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 61493152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69503616).

61493152 is an abundant number, since it is smaller than the sum of its proper divisors (77514080).

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

61493152 is a wasteful number, since it uses less digits than its factorization.

61493152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1293 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 61493152 is about 7841.7569459911. The cubic root of 61493152 is about 394.7076873806.

The spelling of 61493152 in words is "sixty-one million, four hundred ninety-three thousand, one hundred fifty-two".