253254556500 has 192 divisors, whose sum is σ = 815545366272. Its totient is φ = 60553728000.

The previous prime is 253254556481. The next prime is 253254556517. The reversal of 253254556500 is 5655452352.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1099372 + ... + 1309628.

It is an arithmetic number, because the mean of its divisors is an integer number (4247632116).

Almost surely, 2^253254556500 is an apocalyptic number.

253254556500 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 253254556500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407772683136).

253254556500 is an abundant number, since it is smaller than the sum of its proper divisors (562290809772).

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

253254556500 is a wasteful number, since it uses less digits than its factorization.

253254556500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210363 (or 210351 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 42.

The spelling of 253254556500 in words is "two hundred fifty-three billion, two hundred fifty-four million, five hundred fifty-six thousand, five hundred".