252015251400 has 1152 divisors, whose sum is σ = 1033108876800. Its totient is φ = 56435097600.

The previous prime is 252015251351. The next prime is 252015251429. The reversal of 252015251400 is 4152510252.

252015251400 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 1 + 5 + 251 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 436767912 + ... + 436768488.

It is an arithmetic number, because the mean of its divisors is an integer number (896795900).

Almost surely, 2^252015251400 is an apocalyptic number.

252015251400 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 252015251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516554438400).

252015251400 is an abundant number, since it is smaller than the sum of its proper divisors (781093625400).

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

252015251400 is a wasteful number, since it uses less digits than its factorization.

252015251400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 252015251400 its reverse (4152510252), we get a palindrome (256167761652).

The spelling of 252015251400 in words is "two hundred fifty-two billion, fifteen million, two hundred fifty-one thousand, four hundred".