501545450041025 has 72 divisors (see below), whose sum is σ = 712282361714280. Its totient is φ = 348187902935040.

The previous prime is 501545450040931. The next prime is 501545450041033. The reversal of 501545450041025 is 520140054545105.

It can be written as a sum of positive squares in 36 ways, for example, as 200206680612481 + 301338769428544 = 14149441^2 + 17359112^2 .

It is not a de Polignac number, because 501545450041025 - 2²⁶ = 501545382932161 is a prime.

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 71 ways as a sum of consecutive naturals, for example, 79327841 + ... + 85416609.

It is an arithmetic number, because the mean of its divisors is an integer number (9892810579365).

Almost surely, 2^{501545450041025} is an apocalyptic number.

It is an amenable number.

501545450041025 is a deficient number, since it is larger than the sum of its proper divisors (210736911673255).

501545450041025 is a wasteful number, since it uses less digits than its factorization.

501545450041025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089703 (or 6089681 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 41.

The spelling of 501545450041025 in words is "five hundred one trillion, five hundred forty-five billion, four hundred fifty million, forty-one thousand, twenty-five".