2095137556681 has 81 divisors (see below), whose sum is σ = 2446915009959. Its totient is φ = 1792950093792.

The previous prime is 2095137556657. The next prime is 2095137556691. The reversal of 2095137556681 is 1866557315902.

It is a happy number.

The square root of 2095137556681 is 1447459.

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., 309931591225 + 1785205965456 = 556715^2 + 1336116^2 .

It is not a de Polignac number, because 2095137556681 - 2²³ = 2095129168073 is a prime.

It is a super-2 number, since 2×2095137556681² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2095137556691) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20341141276 + ... + 20341141378.

Almost surely, 2^{2095137556681} is an apocalyptic number.

2095137556681 is the 1447459-th square number.

2095137556681 is the 723730-th centered octagonal number.

It is an amenable number.

2095137556681 is a deficient number, since it is larger than the sum of its proper divisors (351777453278).

2095137556681 is an equidigital number, since it uses as much as digits as its factorization.

2095137556681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 58.

The spelling of 2095137556681 in words is "two trillion, ninety-five billion, one hundred thirty-seven million, five hundred fifty-six thousand, six hundred eighty-one".