261003897 has 96 divisors (see below), whose sum is σ = 494887680. Its totient is φ = 133056000.

The previous prime is 261003887. The next prime is 261003901. The reversal of 261003897 is 798300162.

261003897 is a `hidden beast` number, since 2 + 610 + 0 + 38 + 9 + 7 = 666.

It is not a de Polignac number, because 261003897 - 2¹¹ = 261001849 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261003877) 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 95 ways as a sum of consecutive naturals, for example, 2309713 + ... + 2309825.

It is an arithmetic number, because the mean of its divisors is an integer number (5155080).

Almost surely, 2^261003897 is an apocalyptic number.

261003897 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

261003897 is a deficient number, since it is larger than the sum of its proper divisors (233883783).

261003897 is a wasteful number, since it uses less digits than its factorization.

261003897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 261003897 is about 16155.6150300755. The cubic root of 261003897 is about 639.0708334712.

The spelling of 261003897 in words is "two hundred sixty-one million, three thousand, eight hundred ninety-seven".