45212520 has 128 divisors (see below), whose sum is σ = 147744000. Its totient is φ = 11022336.

The previous prime is 45212513. The next prime is 45212521. The reversal of 45212520 is 2521254.

It is a happy number.

45212520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45212521) 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 31 ways as a sum of consecutive naturals, for example, 75181 + ... + 75779.

It is an arithmetic number, because the mean of its divisors is an integer number (1154250).

Almost surely, 2^45212520 is an apocalyptic number.

45212520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45212520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73872000).

45212520 is an abundant number, since it is smaller than the sum of its proper divisors (102531480).

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

45212520 is a wasteful number, since it uses less digits than its factorization.

45212520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 45212520 is about 6724.0255799632. The cubic root of 45212520 is about 356.2483853420.

Adding to 45212520 its reverse (2521254), we get a palindrome (47733774).

The spelling of 45212520 in words is "forty-five million, two hundred twelve thousand, five hundred twenty".