252978308352 has 1440 divisors, whose sum is σ = 1025702092800. Its totient is φ = 60018278400.

The previous prime is 252978308329. The next prime is 252978308357. The reversal of 252978308352 is 253803879252.

It is a happy number.

252978308352 is a `hidden beast` number, since 2 + 529 + 7 + 8 + 30 + 83 + 5 + 2 = 666.

252978308352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252978308357) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 940439674 + ... + 940439942.

It is an arithmetic number, because the mean of its divisors is an integer number (712293120).

Almost surely, 2^252978308352 is an apocalyptic number.

252978308352 is a gapful number since it is divisible by the number (22) 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 252978308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512851046400).

252978308352 is an abundant number, since it is smaller than the sum of its proper divisors (772723784448).

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

252978308352 is a wasteful number, since it uses less digits than its factorization.

252978308352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 252978308352 in words is "two hundred fifty-two billion, nine hundred seventy-eight million, three hundred eight thousand, three hundred fifty-two".