37661529336201 has 27 divisors (see below), whose sum is σ = 54969199656501. Its totient is φ = 24847665813504.

The previous prime is 37661529336191. The next prime is 37661529336227. The reversal of 37661529336201 is 10263392516673.

The square root of 37661529336201 is 6136899.

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

37661529336201 is a `hidden beast` number, since 3 + 7 + 6 + 6 + 1 + 5 + 2 + 9 + 3 + 3 + 620 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12861368375625 + 24800160960576 = 3586275^2 + 4979976^2 .

It is not a de Polignac number, because 37661529336201 - 2¹⁷ = 37661529205129 is a prime.

It is a super-2 number, since 2×37661529336201² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37661529336901) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1785827065 + ... + 1785848153.

Almost surely, 2^{37661529336201} is an apocalyptic number.

37661529336201 is the 6136899-th square number.

37661529336201 is the 3068450-th centered octagonal number.

It is an amenable number.

37661529336201 is a deficient number, since it is larger than the sum of its proper divisors (17307670320300).

37661529336201 is an frugal number, since it uses more digits than its factorization.

37661529336201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42378 (or 21189 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 37661529336201 in words is "thirty-seven trillion, six hundred sixty-one billion, five hundred twenty-nine million, three hundred thirty-six thousand, two hundred one".