252106671292 has 72 divisors (see below), whose sum is σ = 531054604080. Its totient is φ = 104346950400.

The previous prime is 252106671253. The next prime is 252106671337. The reversal of 252106671292 is 292176601252.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582042 + ... + 918142.

It is an arithmetic number, because the mean of its divisors is an integer number (7375758390).

Almost surely, 2^252106671292 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 252106671292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265527302040).

252106671292 is an abundant number, since it is smaller than the sum of its proper divisors (278947932788).

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

252106671292 is a wasteful number, since it uses less digits than its factorization.

252106671292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336251 (or 336242 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 252106671292 in words is "two hundred fifty-two billion, one hundred six million, six hundred seventy-one thousand, two hundred ninety-two".