254214530520 has 128 divisors (see below), whose sum is σ = 777677725440. Its totient is φ = 66461437440.

The previous prime is 254214530513. The next prime is 254214530539. The reversal of 254214530520 is 25035412452.

It is a happy number.

254214530520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×254214530520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2190679 + ... + 2303801.

It is an arithmetic number, because the mean of its divisors is an integer number (6075607230).

Almost surely, 2^254214530520 is an apocalyptic number.

254214530520 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 254214530520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388838862720).

254214530520 is an abundant number, since it is smaller than the sum of its proper divisors (523463194920).

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

254214530520 is a wasteful number, since it uses less digits than its factorization.

254214530520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113505 (or 113501 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 254214530520 its reverse (25035412452), we get a palindrome (279249942972).

The spelling of 254214530520 in words is "two hundred fifty-four billion, two hundred fourteen million, five hundred thirty thousand, five hundred twenty".