541612099249 has 9 divisors (see below), whose sum is σ = 586489733739. Its totient is φ = 499940798760.

The previous prime is 541612099211. The next prime is 541612099261. The reversal of 541612099249 is 942990216145.

The square root of 541612099249 is 735943.

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., 80120133025 + 461491966224 = 283055^2 + 679332^2 .

It is not a de Polignac number, because 541612099249 - 2³³ = 533022164657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541612099196 and 541612099205.

It is not an unprimeable number, because it can be changed into a prime (541612099279) 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, 9538954 + ... + 9595564.

It is an arithmetic number, because the mean of its divisors is an integer number (65165525971).

Almost surely, 2^541612099249 is an apocalyptic number.

541612099249 is the 735943-rd square number.

541612099249 is the 367972-nd centered octagonal number.

It is an amenable number.

541612099249 is a deficient number, since it is larger than the sum of its proper divisors (44877634490).

541612099249 is an frugal number, since it uses more digits than its factorization.

541612099249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113248 (or 56624 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 541612099249 in words is "five hundred forty-one billion, six hundred twelve million, ninety-nine thousand, two hundred forty-nine".