254505253104 has 120 divisors (see below), whose sum is σ = 726972667200. Its totient is φ = 83094520320.

The previous prime is 254505253087. The next prime is 254505253127. The reversal of 254505253104 is 401352505452.

254505253104 is a `hidden beast` number, since 2 + 5 + 450 + 52 + 53 + 104 = 666.

It is a super-2 number, since 2×254505253104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2038762 + ... + 2159990.

It is an arithmetic number, because the mean of its divisors is an integer number (6058105560).

Almost surely, 2^254505253104 is an apocalyptic number.

254505253104 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 254505253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363486333600).

254505253104 is an abundant number, since it is smaller than the sum of its proper divisors (472467414096).

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

254505253104 is a wasteful number, since it uses less digits than its factorization.

254505253104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121543 (or 121534 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 254505253104 its reverse (401352505452), we get a palindrome (655857758556).

The spelling of 254505253104 in words is "two hundred fifty-four billion, five hundred five million, two hundred fifty-three thousand, one hundred four".