541276561225 has 27 divisors (see below), whose sum is σ = 674921170677. Its totient is φ = 430622818080.

The previous prime is 541276561187. The next prime is 541276561229. The reversal of 541276561225 is 522165672145.

It is a happy number.

The square root of 541276561225 is 735715.

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

It can be written as a sum of positive squares in 4 ways, for example, as 207617833801 + 333658727424 = 455651^2 + 577632^2 .

It is not a de Polignac number, because 541276561225 - 2⁷ = 541276561097 is a prime.

It is a super-2 number, since 2×541276561225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541276561229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 989536402 + ... + 989536948.

Almost surely, 2^541276561225 is an apocalyptic number.

541276561225 is the 735715-th square number.

541276561225 is the 367858-th centered octagonal number.

It is an amenable number.

541276561225 is a deficient number, since it is larger than the sum of its proper divisors (133644609452).

541276561225 is an frugal number, since it uses more digits than its factorization.

541276561225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 821 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 46.

The spelling of 541276561225 in words is "five hundred forty-one billion, two hundred seventy-six million, five hundred sixty-one thousand, two hundred twenty-five".