27431542425169 has 27 divisors (see below), whose sum is σ = 29705378246803. Its totient is φ = 25326434062592.

The previous prime is 27431542425149. The next prime is 27431542425173. The reversal of 27431542425169 is 96152424513472.

The square root of 27431542425169 is 5237513.

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

It can be written as a sum of positive squares in 13 ways, for example, as 102569670225 + 27328972754944 = 320265^2 + 5227712^2 .

It is not a de Polignac number, because 27431542425169 - 2¹⁷ = 27431542294097 is a prime.

It is a super-2 number, since 2×27431542425169² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27431542425109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4718996307 + ... + 4719002119.

Almost surely, 2^{27431542425169} is an apocalyptic number.

27431542425169 is the 5237513-rd square number.

27431542425169 is the 2618757-th centered octagonal number.

It is an amenable number.

27431542425169 is a deficient number, since it is larger than the sum of its proper divisors (2273835821634).

27431542425169 is an frugal number, since it uses more digits than its factorization.

27431542425169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11766 (or 5883 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 55.

The spelling of 27431542425169 in words is "twenty-seven trillion, four hundred thirty-one billion, five hundred forty-two million, four hundred twenty-five thousand, one hundred sixty-nine".