252153017 has 2 divisors, whose sum is σ = 252153018. Its totient is φ = 252153016.

The previous prime is 252152987. The next prime is 252153037. The reversal of 252153017 is 710351252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195888016 + 56265001 = 13996^2 + 7501^2 .

It is a cyclic number.

It is not a de Polignac number, because 252153017 - 2¹² = 252148921 is a prime.

It is a super-2 number, since 2×252153017² = 127162287964404578, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (252153037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126076508 + 126076509.

It is an arithmetic number, because the mean of its divisors is an integer number (126076509).

Almost surely, 2^252153017 is an apocalyptic number.

It is an amenable number.

252153017 is a deficient number, since it is larger than the sum of its proper divisors (1).

252153017 is an equidigital number, since it uses as much as digits as its factorization.

252153017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 252153017 is about 15879.3267174651. The cubic root of 252153017 is about 631.7637791886.

The spelling of 252153017 in words is "two hundred fifty-two million, one hundred fifty-three thousand, seventeen".