252150004260 has 864 divisors, whose sum is σ = 997385695488. Its totient is φ = 50084904960.

The previous prime is 252150004259. The next prime is 252150004289. The reversal of 252150004260 is 62400051252.

252150004260 is a `hidden beast` number, since 25 + 215 + 0 + 0 + 0 + 426 + 0 = 666.

252150004260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1840510912 + ... + 1840511048.

It is an arithmetic number, because the mean of its divisors is an integer number (1154381592).

Almost surely, 2^252150004260 is an apocalyptic number.

252150004260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252150004260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498692847744).

252150004260 is an abundant number, since it is smaller than the sum of its proper divisors (745235691228).

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

252150004260 is a wasteful number, since it uses less digits than its factorization.

252150004260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 252150004260 in words is "two hundred fifty-two billion, one hundred fifty million, four thousand, two hundred sixty".