252105723 has 8 divisors (see below), whose sum is σ = 373490000. Its totient is φ = 168070464.

The previous prime is 252105709. The next prime is 252105727. The reversal of 252105723 is 327501252.

It is not a de Polignac number, because 252105723 - 2¹⁷ = 251974651 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 9337249 = 252105723 / (2 + 5 + 2 + 1 + 0 + 5 + 7 + 2 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252105727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4668598 + ... + 4668651.

It is an arithmetic number, because the mean of its divisors is an integer number (46686250).

Almost surely, 2^252105723 is an apocalyptic number.

252105723 is a deficient number, since it is larger than the sum of its proper divisors (121384277).

252105723 is an equidigital number, since it uses as much as digits as its factorization.

252105723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9337258 (or 9337252 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 252105723 is about 15877.8374786997. The cubic root of 252105723 is about 631.7242786970.

Adding to 252105723 its reverse (327501252), we get a palindrome (579606975).

The spelling of 252105723 in words is "two hundred fifty-two million, one hundred five thousand, seven hundred twenty-three".