252737629 has 2 divisors, whose sum is σ = 252737630. Its totient is φ = 252737628.

The previous prime is 252737591. The next prime is 252737647. The reversal of 252737629 is 926737252.

252737629 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., 240312004 + 12425625 = 15502^2 + 3525^2 .

It is a cyclic number.

It is not a de Polignac number, because 252737629 - 2¹⁹ = 252213341 is a prime.

It is a super-2 number, since 2×252737629² = 127752618225083282, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252737689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126368814 + 126368815.

It is an arithmetic number, because the mean of its divisors is an integer number (126368815).

Almost surely, 2^252737629 is an apocalyptic number.

It is an amenable number.

252737629 is a deficient number, since it is larger than the sum of its proper divisors (1).

252737629 is an equidigital number, since it uses as much as digits as its factorization.

252737629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 317520, while the sum is 43.

The square root of 252737629 is about 15897.7240194941. The cubic root of 252737629 is about 632.2516464693.

It can be divided in two parts, 252 and 737629, that added together give a square (737881 = 859²).

The spelling of 252737629 in words is "two hundred fifty-two million, seven hundred thirty-seven thousand, six hundred twenty-nine".