2527116761 has 8 divisors (see below), whose sum is σ = 2795065224. Its totient is φ = 2269676160.

The previous prime is 2527116749. The next prime is 2527116769. The reversal of 2527116761 is 1676117252.

It can be written as a sum of positive squares in 4 ways, for example, as 13097161 + 2514019600 = 3619^2 + 50140^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2527116761 - 2²⁶ = 2460007897 is a prime.

It is a super-2 number, since 2×2527116761² = 12772638247454262242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2527116769) 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 7 ways as a sum of consecutive naturals, for example, 2626460 + ... + 2627421.

It is an arithmetic number, because the mean of its divisors is an integer number (349383153).

Almost surely, 2^2527116761 is an apocalyptic number.

It is an amenable number.

2527116761 is a deficient number, since it is larger than the sum of its proper divisors (267948463).

2527116761 is a wasteful number, since it uses less digits than its factorization.

2527116761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253931.

The product of its digits is 35280, while the sum is 38.

The square root of 2527116761 is about 50270.4362523342. The cubic root of 2527116761 is about 1362.0982534743.

The spelling of 2527116761 in words is "two billion, five hundred twenty-seven million, one hundred sixteen thousand, seven hundred sixty-one".