505752029 has 2 divisors, whose sum is σ = 505752030. Its totient is φ = 505752028.

The previous prime is 505751977. The next prime is 505752047. The reversal of 505752029 is 920257505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 503104900 + 2647129 = 22430^2 + 1627^2 .

It is a cyclic number.

It is not a de Polignac number, because 505752029 - 2⁸ = 505751773 is a prime.

It is a super-2 number, since 2×505752029² = 511570229675233682, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 505752029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505752059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252876014 + 252876015.

It is an arithmetic number, because the mean of its divisors is an integer number (252876015).

Almost surely, 2^505752029 is an apocalyptic number.

It is an amenable number.

505752029 is a deficient number, since it is larger than the sum of its proper divisors (1).

505752029 is an equidigital number, since it uses as much as digits as its factorization.

505752029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 505752029 is about 22488.9312551753. The cubic root of 505752029 is about 796.7325210837.

The spelling of 505752029 in words is "five hundred five million, seven hundred fifty-two thousand, twenty-nine".