525148058241 has 45 divisors (see below), whose sum is σ = 796095704019. Its totient is φ = 344989774944.

The previous prime is 525148058119. The next prime is 525148058299. The reversal of 525148058241 is 142850841525.

The square root of 525148058241 is 724671.

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

525148058241 is a `hidden beast` number, since 5 + 2 + 51 + 480 + 5 + 82 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 298099620225 + 227048438016 = 545985^2 + 476496^2 .

It is not a de Polignac number, because 525148058241 - 2⁹ = 525148057729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (525148058741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 476108296 + ... + 476109398.

Almost surely, 2^525148058241 is an apocalyptic number.

525148058241 is the 724671-st square number.

525148058241 is the 362336-th centered octagonal number.

It is an amenable number.

525148058241 is a deficient number, since it is larger than the sum of its proper divisors (270947645778).

525148058241 is an frugal number, since it uses more digits than its factorization.

525148058241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

Adding to 525148058241 its reverse (142850841525), we get a palindrome (667998899766).

The spelling of 525148058241 in words is "five hundred twenty-five billion, one hundred forty-eight million, fifty-eight thousand, two hundred forty-one".