252401729 has 2 divisors, whose sum is σ = 252401730. Its totient is φ = 252401728.

The previous prime is 252401717. The next prime is 252401731. The reversal of 252401729 is 927104252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 225600400 + 26801329 = 15020^2 + 5177^2 .

It is a cyclic number.

It is not a de Polignac number, because 252401729 - 2¹² = 252397633 is a prime.

Together with 252401731, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_13803476 and since 252401729 and 13803476 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 252401695 and 252401704.

It is not a weakly prime, because it can be changed into another prime (252403729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126200864 + 126200865.

It is an arithmetic number, because the mean of its divisors is an integer number (126200865).

Almost surely, 2^252401729 is an apocalyptic number.

It is an amenable number.

252401729 is a deficient number, since it is larger than the sum of its proper divisors (1).

252401729 is an equidigital number, since it uses as much as digits as its factorization.

252401729 is an evil number, because the sum of its binary digits is even.

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

The square root of 252401729 is about 15887.1561017068. The cubic root of 252401729 is about 631.9714250620.

The spelling of 252401729 in words is "two hundred fifty-two million, four hundred one thousand, seven hundred twenty-nine".