261563350436001 has 6 divisors (see below), whose sum is σ = 377813728407570. Its totient is φ = 174375566957328.

The previous prime is 261563350435991. The next prime is 261563350436023. The reversal of 261563350436001 is 100634053365162.

261563350436001 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 6 + 3 + 35 + 0 + 4 + 3 + 600 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 229498866608400 + 32064483827601 = 15149220^2 + 5662551^2 .

It is not a de Polignac number, because 261563350436001 - 2⁹ = 261563350435489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (261563350432001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14531297246436 + ... + 14531297246453.

It is an arithmetic number, because the mean of its divisors is an integer number (62968954734595).

Almost surely, 2^{261563350436001} is an apocalyptic number.

It is an amenable number.

261563350436001 is a deficient number, since it is larger than the sum of its proper divisors (116250377971569).

261563350436001 is a wasteful number, since it uses less digits than its factorization.

261563350436001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29062594492895 (or 29062594492892 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 261563350436001 in words is "two hundred sixty-one trillion, five hundred sixty-three billion, three hundred fifty million, four hundred thirty-six thousand, one".