254133253000000 has 784 divisors, whose sum is σ = 695438018279424. Its totient is φ = 91375200000000.

The previous prime is 254133252999991. The next prime is 254133253000027. The reversal of 254133253000000 is 352331452.

It is a congruent 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 111 ways as a sum of consecutive naturals, for example, 517582999755 + ... + 517583000245.

Almost surely, 2^{254133253000000} is an apocalyptic number.

254133253000000 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 254133253000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347719009139712).

254133253000000 is an abundant number, since it is smaller than the sum of its proper divisors (441304765279424).

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

254133253000000 is an equidigital number, since it uses as much as digits as its factorization.

254133253000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The spelling of 254133253000000 in words is "two hundred fifty-four trillion, one hundred thirty-three billion, two hundred fifty-three million", and thus it is an aban number.