252687729 has 32 divisors (see below), whose sum is σ = 409411584. Its totient is φ = 135495360.

The previous prime is 252687719. The next prime is 252687761. The reversal of 252687729 is 927786252.

It is not a de Polignac number, because 252687729 - 2¹⁹ = 252163441 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (252687719) 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 31 ways as a sum of consecutive naturals, for example, 20664 + ... + 30534.

It is an arithmetic number, because the mean of its divisors is an integer number (12794112).

Almost surely, 2^252687729 is an apocalyptic number.

It is an amenable number.

252687729 is a deficient number, since it is larger than the sum of its proper divisors (156723855).

252687729 is a wasteful number, since it uses less digits than its factorization.

252687729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9957.

The product of its digits is 846720, while the sum is 48.

The square root of 252687729 is about 15896.1545349811. The cubic root of 252687729 is about 632.2100335737.

The spelling of 252687729 in words is "two hundred fifty-two million, six hundred eighty-seven thousand, seven hundred twenty-nine".