253532000055312 has 120 divisors (see below), whose sum is σ = 800731943893440. Its totient is φ = 74178641591040.

The previous prime is 253532000055259. The next prime is 253532000055337. The reversal of 253532000055312 is 213550000235352.

253532000055312 is a `hidden beast` number, since 2 + 53 + 53 + 2 + 0 + 0 + 0 + 0 + 553 + 1 + 2 = 666.

It is a super-3 number, since 3×253532000055312³ (a number of 44 digits) contains 333 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2759576148 + ... + 2759668019.

It is an arithmetic number, because the mean of its divisors is an integer number (6672766199112).

Almost surely, 2^{253532000055312} is an apocalyptic number.

253532000055312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253532000055312 is an abundant number, since it is smaller than the sum of its proper divisors (547199943838128).

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

253532000055312 is a wasteful number, since it uses less digits than its factorization.

253532000055312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519244221 (or 5519244212 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 253532000055312 in words is "two hundred fifty-three trillion, five hundred thirty-two billion, fifty-five thousand, three hundred twelve".