27537001400041 has 9 divisors (see below), whose sum is σ = 32032881093591. Its totient is φ = 23603112571752.

The previous prime is 27537001399939. The next prime is 27537001400089. The reversal of 27537001400041 is 14000410073572.

The square root of 27537001400041 is 5247571.

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., 10269685483225 + 17267315916816 = 3204635^2 + 4155396^2 .

It is not a de Polignac number, because 27537001400041 - 2³¹ = 27534853916393 is a prime.

It is a super-2 number, since 2×27537001400041² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27537001400941) 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, 36358171 + ... + 37107823.

It is an arithmetic number, because the mean of its divisors is an integer number (3559209010399).

Almost surely, 2^{27537001400041} is an apocalyptic number.

27537001400041 is the 5247571-st square number.

27537001400041 is the 2623786-th centered octagonal number.

It is an amenable number.

27537001400041 is a deficient number, since it is larger than the sum of its proper divisors (4495879693550).

27537001400041 is an frugal number, since it uses more digits than its factorization.

27537001400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499320 (or 749660 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 27537001400041 in words is "twenty-seven trillion, five hundred thirty-seven billion, one million, four hundred thousand, forty-one".