254025213000 has 256 divisors, whose sum is σ = 857127398400. Its totient is φ = 62265369600.

The previous prime is 254025212983. The next prime is 254025213011. The reversal of 254025213000 is 312520452.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9307374 + ... + 9334626.

It is an arithmetic number, because the mean of its divisors is an integer number (3348153900).

Almost surely, 2^254025213000 is an apocalyptic number.

254025213000 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 254025213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428563699200).

254025213000 is an abundant number, since it is smaller than the sum of its proper divisors (603102185400).

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

254025213000 is a wasteful number, since it uses less digits than its factorization.

254025213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27529 (or 27515 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 254025213000 its reverse (312520452), we get a palindrome (254337733452).

The spelling of 254025213000 in words is "two hundred fifty-four billion, twenty-five million, two hundred thirteen thousand".