252102029 has 2 divisors, whose sum is σ = 252102030. Its totient is φ = 252102028.

The previous prime is 252101947. The next prime is 252102041. The reversal of 252102029 is 920201252.

252102029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181575625 + 70526404 = 13475^2 + 8398^2 .

It is a cyclic number.

It is not a de Polignac number, because 252102029 - 2¹⁶ = 252036493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252101995 and 252102013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252102229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126051014 + 126051015.

It is an arithmetic number, because the mean of its divisors is an integer number (126051015).

Almost surely, 2^252102029 is an apocalyptic number.

It is an amenable number.

252102029 is a deficient number, since it is larger than the sum of its proper divisors (1).

252102029 is an equidigital number, since it uses as much as digits as its factorization.

252102029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 252102029 is about 15877.7211526088. The cubic root of 252102029 is about 631.7211932178.

The spelling of 252102029 in words is "two hundred fifty-two million, one hundred two thousand, twenty-nine".