253451524040 has 192 divisors, whose sum is σ = 702937491840. Its totient is φ = 81375191040.

The previous prime is 253451524019. The next prime is 253451524061. The reversal of 253451524040 is 40425154352.

253451524040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253451524019) and next prime (253451524061).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1636184 + ... + 1784376.

It is an arithmetic number, because the mean of its divisors is an integer number (3661132770).

Almost surely, 2^253451524040 is an apocalyptic number.

253451524040 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 253451524040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351468745920).

253451524040 is an abundant number, since it is smaller than the sum of its proper divisors (449485967800).

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

253451524040 is a wasteful number, since it uses less digits than its factorization.

253451524040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148264 (or 148247 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 253451524040 its reverse (40425154352), we get a palindrome (293876678392).

The spelling of 253451524040 in words is "two hundred fifty-three billion, four hundred fifty-one million, five hundred twenty-four thousand, forty".