252411540300 has 216 divisors, whose sum is σ = 808656576000. Its totient is φ = 65833637760.

The previous prime is 252411540259. The next prime is 252411540317. The reversal of 252411540300 is 3045114252.

252411540300 is a `hidden beast` number, since 2 + 5 + 241 + 15 + 403 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10554957 + ... + 10578843.

Almost surely, 2^252411540300 is an apocalyptic number.

252411540300 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 252411540300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404328288000).

252411540300 is an abundant number, since it is smaller than the sum of its proper divisors (556245035700).

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

252411540300 is a wasteful number, since it uses less digits than its factorization.

252411540300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24165 (or 24155 counting only the distinct ones).

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

Adding to 252411540300 its reverse (3045114252), we get a palindrome (255456654552).

The spelling of 252411540300 in words is "two hundred fifty-two billion, four hundred eleven million, five hundred forty thousand, three hundred".