253025424300 has 144 divisors (see below), whose sum is σ = 799042608000. Its totient is φ = 61308595200.

The previous prime is 253025424283. The next prime is 253025424317. The reversal of 253025424300 is 3424520352.

It is an interprime number because it is at equal distance from previous prime (253025424283) and next prime (253025424317).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6908436 + ... + 6944964.

It is an arithmetic number, because the mean of its divisors is an integer number (5548907000).

Almost surely, 2^253025424300 is an apocalyptic number.

253025424300 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 253025424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399521304000).

253025424300 is an abundant number, since it is smaller than the sum of its proper divisors (546017183700).

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

253025424300 is a wasteful number, since it uses less digits than its factorization.

253025424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38656 (or 38649 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 253025424300 its reverse (3424520352), we get a palindrome (256449944652).

The spelling of 253025424300 in words is "two hundred fifty-three billion, twenty-five million, four hundred twenty-four thousand, three hundred".