252011232330544 has 240 divisors, whose sum is σ = 534873852444960. Its totient is φ = 114910142054400.

The previous prime is 252011232330523. The next prime is 252011232330587. The reversal of 252011232330544 is 445033232110252.

It is a super-2 number, since 2×252011232330544² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3068065827 + ... + 3068147965.

It is an arithmetic number, because the mean of its divisors is an integer number (2228641051854).

Almost surely, 2^{252011232330544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252011232330544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267436926222480).

252011232330544 is an abundant number, since it is smaller than the sum of its proper divisors (282862620114416).

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

252011232330544 is a wasteful number, since it uses less digits than its factorization.

252011232330544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82428 (or 82399 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 252011232330544 its reverse (445033232110252), we get a palindrome (697044464440796).

The spelling of 252011232330544 in words is "two hundred fifty-two trillion, eleven billion, two hundred thirty-two million, three hundred thirty thousand, five hundred forty-four".