36561053553525 has 120 divisors (see below), whose sum is σ = 67992698802600. Its totient is φ = 19421817638400.

The previous prime is 36561053553511. The next prime is 36561053553539. The reversal of 36561053553525 is 52535535016563.

36561053553525 is a `hidden beast` number, since 3 + 6 + 5 + 6 + 1 + 0 + 535 + 53 + 52 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (36561053553511) and next prime (36561053553539).

It can be written as a sum of positive squares in 12 ways, for example, as 29479589699121 + 7081463854404 = 5429511^2 + 2661102^2 .

It is not a de Polignac number, because 36561053553525 - 2⁴ = 36561053553509 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 3388728831 + ... + 3388739619.

It is an arithmetic number, because the mean of its divisors is an integer number (566605823355).

Almost surely, 2^{36561053553525} is an apocalyptic number.

It is an amenable number.

36561053553525 is a deficient number, since it is larger than the sum of its proper divisors (31431645249075).

36561053553525 is a wasteful number, since it uses less digits than its factorization.

36561053553525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17301 (or 17287 counting only the distinct ones).

The product of its (nonzero) digits is 30375000, while the sum is 54.

The spelling of 36561053553525 in words is "thirty-six trillion, five hundred sixty-one billion, fifty-three million, five hundred fifty-three thousand, five hundred twenty-five".