45152523 has 48 divisors (see below), whose sum is σ = 74081280. Its totient is φ = 26308800.

The previous prime is 45152509. The next prime is 45152533. The reversal of 45152523 is 32525154.

It is a happy number.

45152523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45152523 - 2⁸ = 45152267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45152533) 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, 213888 + ... + 214098.

It is an arithmetic number, because the mean of its divisors is an integer number (1543360).

Almost surely, 2^45152523 is an apocalyptic number.

45152523 is a deficient number, since it is larger than the sum of its proper divisors (28928757).

45152523 is a wasteful number, since it uses less digits than its factorization.

45152523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 317 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 45152523 is about 6719.5627089864. The cubic root of 45152523 is about 356.0907350886.

Adding to 45152523 its reverse (32525154), we get a palindrome (77677677).

The spelling of 45152523 in words is "forty-five million, one hundred fifty-two thousand, five hundred twenty-three".