45052512 has 48 divisors (see below), whose sum is σ = 119614320. Its totient is φ = 14845952.

The previous prime is 45052493. The next prime is 45052531. The reversal of 45052512 is 21525054.

It is a happy number.

45052512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45052493) and next prime (45052531).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×45052512³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5908 + ... + 11180.

It is an arithmetic number, because the mean of its divisors is an integer number (2491965).

Almost surely, 2^45052512 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 45052512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59807160).

45052512 is an abundant number, since it is smaller than the sum of its proper divisors (74561808).

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

45052512 is a wasteful number, since it uses less digits than its factorization.

45052512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5367 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 45052512 is about 6712.1168047048. The cubic root of 45052512 is about 355.8276319121.

Adding to 45052512 its reverse (21525054), we get a palindrome (66577566).

The spelling of 45052512 in words is "forty-five million, fifty-two thousand, five hundred twelve".