252395712101 has 16 divisors (see below), whose sum is σ = 273107390640. Its totient is φ = 231871610880.

The previous prime is 252395712097. The next prime is 252395712109. The reversal of 252395712101 is 101217593252.

It is a Cunningham number, because it is equal to 502390²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 24570876001 + 227824836100 = 156751^2 + 477310^2 .

It is not a de Polignac number, because 252395712101 - 2² = 252395712097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252395712109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2559845 + ... + 2656613.

It is an arithmetic number, because the mean of its divisors is an integer number (17069211915).

Almost surely, 2^252395712101 is an apocalyptic number.

It is an amenable number.

252395712101 is a deficient number, since it is larger than the sum of its proper divisors (20711678539).

252395712101 is a wasteful number, since it uses less digits than its factorization.

252395712101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97736.

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 252395712101 in words is "two hundred fifty-two billion, three hundred ninety-five million, seven hundred twelve thousand, one hundred one".