45893782505025 has 405 divisors, whose sum is σ = 103985956588059. Its totient is φ = 19338852798720.

The previous prime is 45893782504981. The next prime is 45893782505027. The reversal of 45893782505025 is 52050528739854.

It is a happy number.

The square root of 45893782505025 is 6774495.

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

45893782505025 is a `hidden beast` number, since 4 + 5 + 8 + 9 + 3 + 78 + 2 + 50 + 502 + 5 = 666.

45893782505025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 44749798241841 + 1143984263184 = 6689529^2 + 1069572^2 .

It is not a de Polignac number, because 45893782505025 - 2⁹ = 45893782504513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45893782505027) by changing a digit.

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 404 ways as a sum of consecutive naturals, for example, 64730299371 + ... + 64730300079.

Almost surely, 2^{45893782505025} is an apocalyptic number.

45893782505025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45893782505025 is the 6774495-th square number.

45893782505025 is the 3387248-th centered octagonal number.

It is an amenable number.

45893782505025 is an abundant number, since it is smaller than the sum of its proper divisors (58092174083034).

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

45893782505025 is an frugal number, since it uses more digits than its factorization.

45893782505025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 45893782505025 in words is "forty-five trillion, eight hundred ninety-three billion, seven hundred eighty-two million, five hundred five thousand, twenty-five".