260257846635081 has 15 divisors (see below), whose sum is σ = 388780456927863. Its totient is φ = 173505134295000.

The previous prime is 260257846635079. The next prime is 260257846635089. The reversal of 260257846635081 is 180536648752062.

The square root of 260257846635081 is 16132509.

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

260257846635081 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 578 + 4 + 6 + 6 + 3 + 50 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 240760499898681 + 19497346736400 = 15516459^2 + 4415580^2 .

It is not a de Polignac number, because 260257846635081 - 2¹ = 260257846635079 is a prime.

It is a super-2 number, since 2×260257846635081² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (260257846635089) 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 14 ways as a sum of consecutive naturals, for example, 144296331 + ... + 146088831.

Almost surely, 2^{260257846635081} is an apocalyptic number.

260257846635081 is the 16132509-th square number.

260257846635081 is the 8066255-th centered octagonal number.

It is an amenable number.

260257846635081 is a deficient number, since it is larger than the sum of its proper divisors (128522610292782).

260257846635081 is an frugal number, since it uses more digits than its factorization.

260257846635081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585014 (or 1792504 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 260257846635081 in words is "two hundred sixty trillion, two hundred fifty-seven billion, eight hundred forty-six million, six hundred thirty-five thousand, eighty-one".