261202641 has 16 divisors (see below), whose sum is σ = 406493184. Its totient is φ = 146082384.

The previous prime is 261202589. The next prime is 261202657. The reversal of 261202641 is 146202162.

261202641 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 261202641 - 2²⁵ = 227648209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (261202691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131335 + ... + 133308.

It is an arithmetic number, because the mean of its divisors is an integer number (25405824).

Almost surely, 2^261202641 is an apocalyptic number.

261202641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

261202641 is a deficient number, since it is larger than the sum of its proper divisors (145290543).

261202641 is a wasteful number, since it uses less digits than its factorization.

261202641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264700.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 261202641 is about 16161.7647860622. The cubic root of 261202641 is about 639.2330012533.

The spelling of 261202641 in words is "two hundred sixty-one million, two hundred two thousand, six hundred forty-one".