253770016 has 36 divisors (see below), whose sum is σ = 529774182. Its totient is φ = 119246336.

The previous prime is 253770001. The next prime is 253770019. The reversal of 253770016 is 610077352.

It can be written as a sum of positive squares in only one way, i.e., 186595600 + 67174416 = 13660^2 + 8196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 253770016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253770019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 371211 + ... + 371893.

Almost surely, 2^253770016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253770016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264887091).

253770016 is an abundant number, since it is smaller than the sum of its proper divisors (276004166).

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

253770016 is an frugal number, since it uses more digits than its factorization.

253770016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 253770016 is about 15930.1605767174. The cubic root of 253770016 is about 633.1113544015. Note that the first 3 decimals are identical.

The spelling of 253770016 in words is "two hundred fifty-three million, seven hundred seventy thousand, sixteen".