261711080001 has 48 divisors (see below), whose sum is σ = 453044390400. Its totient is φ = 148878396576.

The previous prime is 261711079939. The next prime is 261711080009. The reversal of 261711080001 is 100080117162.

261711080001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 261711080001 - 2²¹ = 261708982849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (261711080009) 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 47 ways as a sum of consecutive naturals, for example, 148506 + ... + 738563.

It is an arithmetic number, because the mean of its divisors is an integer number (9438424800).

Almost surely, 2^261711080001 is an apocalyptic number.

261711080001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

261711080001 is a deficient number, since it is larger than the sum of its proper divisors (191333310399).

261711080001 is a wasteful number, since it uses less digits than its factorization.

261711080001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887315 (or 887302 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 261711080001 its reverse (100080117162), we get a palindrome (361791197163).

The spelling of 261711080001 in words is "two hundred sixty-one billion, seven hundred eleven million, eighty thousand, one".