253050302500 has 240 divisors, whose sum is σ = 586204542000. Its totient is φ = 95413248000.

The previous prime is 253050302497. The next prime is 253050302501. The reversal of 253050302500 is 5203050352.

253050302500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 40 ways, for example, as 251741020644 + 1309281856 = 501738^2 + 36184^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (253050302501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 725072326 + ... + 725072674.

It is an arithmetic number, because the mean of its divisors is an integer number (2442518925).

Almost surely, 2^253050302500 is an apocalyptic number.

253050302500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253050302500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293102271000).

253050302500 is an abundant number, since it is smaller than the sum of its proper divisors (333154239500).

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

253050302500 is a wasteful number, since it uses less digits than its factorization.

253050302500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

Adding to 253050302500 its reverse (5203050352), we get a palindrome (258253352852).

The spelling of 253050302500 in words is "two hundred fifty-three billion, fifty million, three hundred two thousand, five hundred".