253089820 has 36 divisors (see below), whose sum is σ = 539731080. Its totient is φ = 99689568.

The previous prime is 253089803. The next prime is 253089821. The reversal of 253089820 is 28980352.

253089820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 253089820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253089821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88371 + ... + 91189.

It is an arithmetic number, because the mean of its divisors is an integer number (14992530).

Almost surely, 2^253089820 is an apocalyptic number.

253089820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253089820 is an abundant number, since it is smaller than the sum of its proper divisors (286641260).

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

253089820 is a wasteful number, since it uses less digits than its factorization.

253089820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 253089820 is about 15908.7969375437. The cubic root of 253089820 is about 632.5451919779.

The spelling of 253089820 in words is "two hundred fifty-three million, eighty-nine thousand, eight hundred twenty".