520146545641025 has 24 divisors (see below), whose sum is σ = 669631211064120. Its totient is φ = 400317938818560.

The previous prime is 520146545640901. The next prime is 520146545641057.

It is a happy number.

520146545641025 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 250774715313424 + 269371830327601 = 15835868^2 + 16412551^2 .

It is not a de Polignac number, because 520146545641025 - 2¹⁸ = 520146545378881 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1294823564 + ... + 1295225213.

It is an arithmetic number, because the mean of its divisors is an integer number (27901300461005).

Almost surely, 2^{520146545641025} is an apocalyptic number.

It is an amenable number.

520146545641025 is a deficient number, since it is larger than the sum of its proper divisors (149484665423095).

520146545641025 is a wasteful number, since it uses less digits than its factorization.

520146545641025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590049093 (or 2590049088 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 50.

The spelling of 520146545641025 in words is "five hundred twenty trillion, one hundred forty-six billion, five hundred forty-five million, six hundred forty-one thousand, twenty-five".