275172635761 has 27 divisors (see below), whose sum is σ = 297919453611. Its totient is φ = 254109616704.

The previous prime is 275172635723. The next prime is 275172635767. The reversal of 275172635761 is 167536271572.

The square root of 275172635761 is 524569.

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., 214234751025 + 60937884736 = 462855^2 + 246856^2 .

It is not a de Polignac number, because 275172635761 - 2²³ = 275164247153 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 275172635699 and 275172635708.

It is not an unprimeable number, because it can be changed into a prime (275172635767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 526142446 + ... + 526142968.

Almost surely, 2^275172635761 is an apocalyptic number.

275172635761 is the 524569-th square number.

275172635761 is the 262285-th centered octagonal number.

It is an amenable number.

275172635761 is a deficient number, since it is larger than the sum of its proper divisors (22746817850).

275172635761 is an frugal number, since it uses more digits than its factorization.

275172635761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 599 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 52.

The spelling of 275172635761 in words is "two hundred seventy-five billion, one hundred seventy-two million, six hundred thirty-five thousand, seven hundred sixty-one".