45513000 has 192 divisors, whose sum is σ = 166093200. Its totient is φ = 11174400.

The previous prime is 45512989. The next prime is 45513001. The reversal of 45513000 is 31554.

45513000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1077444 + 44435556 = 1038^2 + 6666^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (45513001) 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 47 ways as a sum of consecutive naturals, for example, 116806 + ... + 117194.

Almost surely, 2^45513000 is an apocalyptic number.

45513000 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 45513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83046600).

45513000 is an abundant number, since it is smaller than the sum of its proper divisors (120580200).

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

45513000 is a wasteful number, since it uses less digits than its factorization.

45513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 45513000 is about 6746.3323369072. The cubic root of 45513000 is about 357.0358460346.

Adding to 45513000 its reverse (31554), we get a palindrome (45544554).

The spelling of 45513000 in words is "forty-five million, five hundred thirteen thousand".