253252217250 has 384 divisors, whose sum is σ = 751023187200. Its totient is φ = 63142732800.

The previous prime is 253252217243. The next prime is 253252217261. The reversal of 253252217250 is 52712252352.

253252217250 is a `hidden beast` number, since 2 + 532 + 5 + 2 + 2 + 1 + 72 + 50 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 384297421 + ... + 384298079.

It is an arithmetic number, because the mean of its divisors is an integer number (1955789550).

Almost surely, 2^253252217250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253252217250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375511593600).

253252217250 is an abundant number, since it is smaller than the sum of its proper divisors (497770969950).

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

253252217250 is a wasteful number, since it uses less digits than its factorization.

253252217250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 253252217250 in words is "two hundred fifty-three billion, two hundred fifty-two million, two hundred seventeen thousand, two hundred fifty".