252405400349 has 16 divisors (see below), whose sum is σ = 265357679616. Its totient is φ = 239800060800.

The previous prime is 252405400249. The next prime is 252405400363. The reversal of 252405400349 is 943004504252.

It is a cyclic number.

It is not a de Polignac number, because 252405400349 - 2²⁴ = 252388623133 is a prime.

It is a super-2 number, since 2×252405400349² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252405400249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581129 + ... + 917889.

It is an arithmetic number, because the mean of its divisors is an integer number (16584854976).

Almost surely, 2^252405400349 is an apocalyptic number.

It is an amenable number.

252405400349 is a deficient number, since it is larger than the sum of its proper divisors (12952279267).

252405400349 is a wasteful number, since it uses less digits than its factorization.

252405400349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337276.

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 252405400349 in words is "two hundred fifty-two billion, four hundred five million, four hundred thousand, three hundred forty-nine".