253541135016 has 256 divisors, whose sum is σ = 803486880000. Its totient is φ = 73433558016.

The previous prime is 253541134999. The next prime is 253541135027. The reversal of 253541135016 is 610531145352.

253541135016 is a `hidden beast` number, since 2 + 5 + 35 + 4 + 113 + 501 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 8361130 + ... + 8391398.

It is an arithmetic number, because the mean of its divisors is an integer number (3138620625).

Almost surely, 2^253541135016 is an apocalyptic number.

253541135016 is a gapful number since it is divisible by the number (26) 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 253541135016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401743440000).

253541135016 is an abundant number, since it is smaller than the sum of its proper divisors (549945744984).

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

253541135016 is a wasteful number, since it uses less digits than its factorization.

253541135016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30473 (or 30463 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 253541135016 in words is "two hundred fifty-three billion, five hundred forty-one million, one hundred thirty-five thousand, sixteen".