253778652 has 144 divisors (see below), whose sum is σ = 715478400. Its totient is φ = 75479040.

The previous prime is 253778621. The next prime is 253778653. The reversal of 253778652 is 256877352.

253778652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253778598 and 253778607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253778653) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1402002 + ... + 1402182.

It is an arithmetic number, because the mean of its divisors is an integer number (4968600).

Almost surely, 2^253778652 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 253778652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357739200).

253778652 is an abundant number, since it is smaller than the sum of its proper divisors (461699748).

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

253778652 is a wasteful number, since it uses less digits than its factorization.

253778652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 253778652 is about 15930.4316325704. The cubic root of 253778652 is about 633.1185360848.

The spelling of 253778652 in words is "two hundred fifty-three million, seven hundred seventy-eight thousand, six hundred fifty-two".