7775536041 has 243 divisors, whose sum is σ = 15861076101. Its totient is φ = 3656959488.

The previous prime is 7775536019. The next prime is 7775536049. The reversal of 7775536041 is 1406355777.

The square root of 7775536041 is 88179.

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

7775536041 is a `hidden beast` number, since 7 + 7 + 75 + 536 + 0 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70207641 + 7705328400 = 8379^2 + 87780^2 .

It is not a de Polignac number, because 7775536041 - 2⁷ = 7775535913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7775536049) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 409238730 + ... + 409238748.

Almost surely, 2^7775536041 is an apocalyptic number.

7775536041 is the 88179-th square number.

7775536041 is the 44090-th centered octagonal number.

It is an amenable number.

7775536041 is an abundant number, since it is smaller than the sum of its proper divisors (8085540060).

7775536041 is a wasteful number, since it uses less digits than its factorization.

7775536041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The cubic root of 7775536041 is about 1981.1169463189.

The spelling of 7775536041 in words is "seven billion, seven hundred seventy-five million, five hundred thirty-six thousand, forty-one".