260331056401 has 16 divisors (see below), whose sum is σ = 304088290128. Its totient is φ = 220653619200.

The previous prime is 260331056353. The next prime is 260331056443. The reversal of 260331056401 is 104650133062.

260331056401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 69537690000 + 190793366401 = 263700^2 + 436799^2 .

It is a cyclic number.

It is not a de Polignac number, because 260331056401 - 2⁹ = 260331055889 is a prime.

It is a super-3 number, since 3×260331056401³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (260331050401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14356410 + ... + 14374531.

It is an arithmetic number, because the mean of its divisors is an integer number (19005518133).

Almost surely, 2^260331056401 is an apocalyptic number.

It is an amenable number.

260331056401 is a deficient number, since it is larger than the sum of its proper divisors (43757233727).

260331056401 is a wasteful number, since it uses less digits than its factorization.

260331056401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28731012.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 260331056401 its reverse (104650133062), we get a palindrome (364981189463).

The spelling of 260331056401 in words is "two hundred sixty billion, three hundred thirty-one million, fifty-six thousand, four hundred one".