45325220526135 has 192 divisors, whose sum is σ = 86547313921536. Its totient is φ = 21761469849600.

The previous prime is 45325220526043. The next prime is 45325220526143. The reversal of 45325220526135 is 53162502252354.

45325220526135 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 5 + 2 + 20 + 5 + 2 + 613 + 5 = 666.

45325220526135 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 45325220526135 - 2³⁰ = 45324146784311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24199262559 + ... + 24199264431.

It is an arithmetic number, because the mean of its divisors is an integer number (450767260008).

Almost surely, 2^{45325220526135} is an apocalyptic number.

45325220526135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45325220526135 is a deficient number, since it is larger than the sum of its proper divisors (41222093395401).

45325220526135 is a wasteful number, since it uses less digits than its factorization.

45325220526135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 45325220526135 its reverse (53162502252354), we get a palindrome (98487722778489).

The spelling of 45325220526135 in words is "forty-five trillion, three hundred twenty-five billion, two hundred twenty million, five hundred twenty-six thousand, one hundred thirty-five".