253508222016 has 693 divisors, whose sum is σ = 902140185429. Its totient is φ = 70473328128.

The previous prime is 253508221997. The next prime is 253508222017. The reversal of 253508222016 is 610222805352.

It is a happy number.

The square root of 253508222016 is 503496.

It is a perfect power (a square), and thus also a powerful number.

253508222016 is a `hidden beast` number, since 2 + 5 + 350 + 82 + 220 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 226842638400 + 26665583616 = 476280^2 + 163296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (253508222017) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 6851573550 + ... + 6851573586.

Almost surely, 2^253508222016 is an apocalyptic number.

253508222016 is the 503496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253508222016

253508222016 is an abundant number, since it is smaller than the sum of its proper divisors (648631963413).

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

253508222016 is an frugal number, since it uses more digits than its factorization.

253508222016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 253508222016 by its sum of digits (36), we get a square (9126295992576 = 3020976²).

253508222016 divided by its sum of digits (36) gives a square (7041895056 = 83916²).

The spelling of 253508222016 in words is "two hundred fifty-three billion, five hundred eight million, two hundred twenty-two thousand, sixteen".