45037521 has 9 divisors (see below), whose sum is σ = 65083291. Its totient is φ = 30011592.

The previous prime is 45037511. The next prime is 45037523. The reversal of 45037521 is 12573054.

It is a happy number.

The square root of 45037521 is 6711.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35820225 + 9217296 = 5985^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 45037521 - 2⁹ = 45037009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45037523) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19015 + ... + 21251.

Almost surely, 2^45037521 is an apocalyptic number.

45037521 is the 6711-st square number.

45037521 is the 3356-th centered octagonal number.

It is an amenable number.

45037521 is a deficient number, since it is larger than the sum of its proper divisors (20045770).

45037521 is an frugal number, since it uses more digits than its factorization.

45037521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The cubic root of 45037521 is about 355.7881609071.

The spelling of 45037521 in words is "forty-five million, thirty-seven thousand, five hundred twenty-one".