252287003346 has 256 divisors, whose sum is σ = 642690048000. Its totient is φ = 65758646016.

The previous prime is 252287003329. The next prime is 252287003347. The reversal of 252287003346 is 643300782252.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 252287003298 and 252287003307.

It is not an unprimeable number, because it can be changed into a prime (252287003347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149016876 + ... + 149018568.

It is an arithmetic number, because the mean of its divisors is an integer number (2510508000).

Almost surely, 2^252287003346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252287003346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321345024000).

252287003346 is an abundant number, since it is smaller than the sum of its proper divisors (390403044654).

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

252287003346 is a wasteful number, since it uses less digits than its factorization.

252287003346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

Adding to 252287003346 its reverse (643300782252), we get a palindrome (895587785598).

The spelling of 252287003346 in words is "two hundred fifty-two billion, two hundred eighty-seven million, three thousand, three hundred forty-six".