253481760504 has 256 divisors, whose sum is σ = 853118361600. Its totient is φ = 68192409600.

The previous prime is 253481760463. The next prime is 253481760547. The reversal of 253481760504 is 405067184352.

253481760504 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 81 + 7 + 60 + 504 = 666.

253481760504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 253481760504.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1661184 + ... + 1807344.

It is an arithmetic number, because the mean of its divisors is an integer number (3332493600).

Almost surely, 2^253481760504 is an apocalyptic number.

253481760504 is a gapful number since it is divisible by the number (24) 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 253481760504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426559180800).

253481760504 is an abundant number, since it is smaller than the sum of its proper divisors (599636601096).

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

253481760504 is a wasteful number, since it uses less digits than its factorization.

253481760504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146251 (or 146241 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

It can be divided in two parts, 2534817 and 60504, that added together give a square (2595321 = 1611²).

The spelling of 253481760504 in words is "two hundred fifty-three billion, four hundred eighty-one million, seven hundred sixty thousand, five hundred four".