261576401 has 16 divisors (see below), whose sum is σ = 288076800. Its totient is φ = 236407248.

The previous prime is 261576389. The next prime is 261576443. The reversal of 261576401 is 104675162.

It is not a de Polignac number, because 261576401 - 2¹⁴ = 261560017 is a prime.

It is a super-2 number, since 2×261576401² = 136844427120225602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261572401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270020 + ... + 270986.

It is an arithmetic number, because the mean of its divisors is an integer number (18004800).

Almost surely, 2^261576401 is an apocalyptic number.

It is an amenable number.

261576401 is a deficient number, since it is larger than the sum of its proper divisors (26500399).

261576401 is a wasteful number, since it uses less digits than its factorization.

261576401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 261576401 is about 16173.3237462186. The cubic root of 261576401 is about 639.5377529687.

The spelling of 261576401 in words is "two hundred sixty-one million, five hundred seventy-six thousand, four hundred one".