261272167175 has 48 divisors (see below), whose sum is σ = 346176890880. Its totient is φ = 195178032000.

The previous prime is 261272167171. The next prime is 261272167183. The reversal of 261272167175 is 571761272162.

It is not a de Polignac number, because 261272167175 - 2² = 261272167171 is a prime.

It is a super-2 number, since 2×261272167175² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261272167171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53285774 + ... + 53290676.

It is an arithmetic number, because the mean of its divisors is an integer number (7212018560).

Almost surely, 2^261272167175 is an apocalyptic number.

261272167175 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

261272167175 is a deficient number, since it is larger than the sum of its proper divisors (84904723705).

261272167175 is a wasteful number, since it uses less digits than its factorization.

261272167175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344 (or 7339 counting only the distinct ones).

The product of its digits is 493920, while the sum is 47.

The spelling of 261272167175 in words is "two hundred sixty-one billion, two hundred seventy-two million, one hundred sixty-seven thousand, one hundred seventy-five".