525872979241 has 9 divisors (see below), whose sum is σ = 532346063511. Its totient is φ = 519477696192.

The previous prime is 525872979197. The next prime is 525872979259. The reversal of 525872979241 is 142979278525.

The square root of 525872979241 is 725171.

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

It can be written as a sum of positive squares in only one way, i.e., 199027515625 + 326845463616 = 446125^2 + 571704^2 .

It is not a de Polignac number, because 525872979241 - 2¹⁷ = 525872848169 is a prime.

It is a Duffinian number.

Its product of digits (25401600) is a multiple of the sum of its prime divisors (8820).

It is a self number, because there is not a number n which added to its sum of digits gives 525872979241.

It is not an unprimeable number, because it can be changed into a prime (525872979341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60184825 + ... + 60193561.

Almost surely, 2^525872979241 is an apocalyptic number.

525872979241 is the 725171-st square number.

525872979241 is the 362586-th centered octagonal number.

It is an amenable number.

525872979241 is a deficient number, since it is larger than the sum of its proper divisors (6473084270).

525872979241 is an frugal number, since it uses more digits than its factorization.

525872979241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17640 (or 8820 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 61.

The spelling of 525872979241 in words is "five hundred twenty-five billion, eight hundred seventy-two million, nine hundred seventy-nine thousand, two hundred forty-one".