45513006 has 128 divisors (see below), whose sum is σ = 121651200. Its totient is φ = 11007360.

The previous prime is 45513001. The next prime is 45513007. The reversal of 45513006 is 60031554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45513001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 576075 + ... + 576153.

It is an arithmetic number, because the mean of its divisors is an integer number (950400).

Almost surely, 2^45513006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45513006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60825600).

45513006 is an abundant number, since it is smaller than the sum of its proper divisors (76138194).

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

45513006 is a wasteful number, since it uses less digits than its factorization.

45513006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 45513006 is about 6746.3327815933. The cubic root of 45513006 is about 357.0358617240.

It can be divided in two parts, 4551 and 3006, that added together give a palindrome (7557).

The spelling of 45513006 in words is "forty-five million, five hundred thirteen thousand, six".