101647825472052 has 72 divisors (see below), whose sum is σ = 259596119382600. Its totient is φ = 33532772732928.

The previous prime is 101647825472041. The next prime is 101647825472119. The reversal of 101647825472052 is 250274528746101.

101647825472052 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 4 + 78 + 2 + 547 + 20 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42225095671056 + 59422729800996 = 6498084^2 + 7708614^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101647825472052.

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 23 ways as a sum of consecutive naturals, for example, 263904024 + ... + 264288912.

Almost surely, 2^{101647825472052} is an apocalyptic number.

101647825472052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101647825472052 is an abundant number, since it is smaller than the sum of its proper divisors (157948293910548).

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

101647825472052 is a wasteful number, since it uses less digits than its factorization.

101647825472052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460625 (or 460620 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 101647825472052 in words is "one hundred one trillion, six hundred forty-seven billion, eight hundred twenty-five million, four hundred seventy-two thousand, fifty-two".