13877256597961 has 27 divisors (see below), whose sum is σ = 14569359801237. Its totient is φ = 13217673047040.

The previous prime is 13877256597929. The next prime is 13877256597989. The reversal of 13877256597961 is 16979565277831.

The square root of 13877256597961 is 3725219.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13013948025225 + 863308572736 = 3607485^2 + 929144^2 .

It is not a de Polignac number, because 13877256597961 - 2⁵ = 13877256597929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13877256597901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6567560041 + ... + 6567562153.

Almost surely, 2^{13877256597961} is an apocalyptic number.

13877256597961 is the 3725219-th square number.

13877256597961 is the 1862610-th centered octagonal number.

It is an amenable number.

13877256597961 is a deficient number, since it is larger than the sum of its proper divisors (692103203276).

13877256597961 is an frugal number, since it uses more digits than its factorization.

13877256597961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 2197 counting only the distinct ones).

The product of its digits is 1200225600, while the sum is 76.

The spelling of 13877256597961 in words is "thirteen trillion, eight hundred seventy-seven billion, two hundred fifty-six million, five hundred ninety-seven thousand, nine hundred sixty-one".