253013315002400 has 144 divisors (see below), whose sum is σ = 625208181552864. Its totient is φ = 99970368276480.

The previous prime is 253013315002373. The next prime is 253013315002411. The reversal of 253013315002400 is 4200513310352.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429512867 + ... + 430101533.

It is an arithmetic number, because the mean of its divisors is an integer number (4341723483006).

Almost surely, 2^{253013315002400} is an apocalyptic number.

253013315002400 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 253013315002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312604090776432).

253013315002400 is an abundant number, since it is smaller than the sum of its proper divisors (372194866550464).

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

253013315002400 is a wasteful number, since it uses less digits than its factorization.

253013315002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595243 (or 595230 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 253013315002400 its reverse (4200513310352), we get a palindrome (257213828312752).

The spelling of 253013315002400 in words is "two hundred fifty-three trillion, thirteen billion, three hundred fifteen million, two thousand, four hundred".