252654242456252 has 96 divisors (see below), whose sum is σ = 544447871944704. Its totient is φ = 99901641312000.

The previous prime is 252654242456251. The next prime is 252654242456263.

252654242456252 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×252654242456252² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252654242456251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6912357377 + ... + 6912393927.

It is an arithmetic number, because the mean of its divisors is an integer number (5671331999424).

Almost surely, 2^{252654242456252} is an apocalyptic number.

It is an amenable number.

252654242456252 is an abundant number, since it is smaller than the sum of its proper divisors (291793629488452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252654242456252 is a wasteful number, since it uses less digits than its factorization.

252654242456252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45459 (or 45457 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 56.

The spelling of 252654242456252 in words is "two hundred fifty-two trillion, six hundred fifty-four billion, two hundred forty-two million, four hundred fifty-six thousand, two hundred fifty-two".