254572040275452 has 192 divisors, whose sum is σ = 705871249372800. Its totient is φ = 79060760985600.

The previous prime is 254572040275369. The next prime is 254572040275489.

It is a happy number.

254572040275452 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 72 + 0 + 4 + 0 + 27 + 545 + 2 = 666.

254572040275452 is nontrivially palindromic in base 10.

254572040275452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1054824748 + ... + 1055066060.

It is an arithmetic number, because the mean of its divisors is an integer number (3676412757150).

Almost surely, 2^{254572040275452} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254572040275452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352935624686400).

254572040275452 is an abundant number, since it is smaller than the sum of its proper divisors (451299209097348).

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

254572040275452 is a wasteful number, since it uses less digits than its factorization.

254572040275452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247133 (or 247125 counting only the distinct ones).

The product of its (nonzero) digits is 31360000, while the sum is 54.

The spelling of 254572040275452 in words is "two hundred fifty-four trillion, five hundred seventy-two billion, forty million, two hundred seventy-five thousand, four hundred fifty-two".