45513504 has 72 divisors (see below), whose sum is σ = 135076032. Its totient is φ = 14509440.

The previous prime is 45513491. The next prime is 45513509. The reversal of 45513504 is 40531554.

45513504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (45513509) 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 11 ways as a sum of consecutive naturals, for example, 3189 + ... + 10059.

It is an arithmetic number, because the mean of its divisors is an integer number (1876056).

Almost surely, 2^45513504 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 45513504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67538016).

45513504 is an abundant number, since it is smaller than the sum of its proper divisors (89562528).

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

45513504 is a wasteful number, since it uses less digits than its factorization.

45513504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 45513504 is about 6746.3696904335. The cubic root of 45513504 is about 357.0371639394.

The spelling of 45513504 in words is "forty-five million, five hundred thirteen thousand, five hundred four".