61305153 has 64 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 29922048.

The previous prime is 61305149. The next prime is 61305169. The reversal of 61305153 is 35150316.

61305153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61305153 - 2² = 61305149 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61305653) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 274800 + ... + 275022.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 2^61305153 is an apocalyptic number.

It is an amenable number.

61305153 is a deficient number, since it is larger than the sum of its proper divisors (47075007).

61305153 is a wasteful number, since it uses less digits than its factorization.

61305153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 61305153 is about 7829.7607243134. The cubic root of 61305153 is about 394.3050387542.

Adding to 61305153 its reverse (35150316), we get a palindrome (96455469).

The spelling of 61305153 in words is "sixty-one million, three hundred five thousand, one hundred fifty-three".