252641216405 has 8 divisors (see below), whose sum is σ = 303188432184. Its totient is φ = 202100324800.

The previous prime is 252641216389. The next prime is 252641216411. The reversal of 252641216405 is 504612146252.

It can be written as a sum of positive squares in 4 ways, for example, as 10806434116 + 241834782289 = 103954^2 + 491767^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 252641216405 - 2⁴ = 252641216389 is a prime.

It is a super-2 number, since 2×252641216405² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1492706 + ... + 1653315.

It is an arithmetic number, because the mean of its divisors is an integer number (37898554023).

Almost surely, 2^252641216405 is an apocalyptic number.

It is an amenable number.

252641216405 is a deficient number, since it is larger than the sum of its proper divisors (50547215779).

252641216405 is a wasteful number, since it uses less digits than its factorization.

252641216405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162087.

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 252641216405 in words is "two hundred fifty-two billion, six hundred forty-one million, two hundred sixteen thousand, four hundred five".