254250052452 has 576 divisors, whose sum is σ = 785925504000. Its totient is φ = 68439168000.

The previous prime is 254250052451. The next prime is 254250052523.

254250052452 is a `hidden beast` number, since 2 + 54 + 2 + 500 + 52 + 4 + 52 = 666.

254250052452 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (254250052451) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1829136999 + ... + 1829137137.

It is an arithmetic number, because the mean of its divisors is an integer number (1364454000).

Almost surely, 2^254250052452 is an apocalyptic number.

254250052452 is a gapful number since it is divisible by the number (22) 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 254250052452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392962752000).

254250052452 is an abundant number, since it is smaller than the sum of its proper divisors (531675451548).

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

254250052452 is a wasteful number, since it uses less digits than its factorization.

254250052452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 2542500 and 52452, that added together give a palindrome (2594952).

The spelling of 254250052452 in words is "two hundred fifty-four billion, two hundred fifty million, fifty-two thousand, four hundred fifty-two".