261752121 has 16 divisors (see below), whose sum is σ = 404641920. Its totient is φ = 166914000.

The previous prime is 261752069. The next prime is 261752123. The reversal of 261752121 is 121257162.

261752121 is a `hidden beast` number, since 2 + 617 + 5 + 21 + 21 = 666.

261752121 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 261752121 - 2⁷ = 261751993 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 (261752123) 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, 210130 + ... + 211371.

It is an arithmetic number, because the mean of its divisors is an integer number (25290120).

Almost surely, 2^261752121 is an apocalyptic number.

It is an amenable number.

261752121 is a deficient number, since it is larger than the sum of its proper divisors (142889799).

261752121 is a wasteful number, since it uses less digits than its factorization.

261752121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421533 (or 421527 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 261752121 is about 16178.7552364204. The cubic root of 261752121 is about 639.6809290075.

The spelling of 261752121 in words is "two hundred sixty-one million, seven hundred fifty-two thousand, one hundred twenty-one".