21525633652512 has 96 divisors (see below), whose sum is σ = 61642517880384. Its totient is φ = 6522820812800.

The previous prime is 21525633652483. The next prime is 21525633652529.

It is a happy number.

21525633652512 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101795212 + ... + 102006452.

It is an arithmetic number, because the mean of its divisors is an integer number (642109561254).

Almost surely, 2^{21525633652512} is an apocalyptic number.

21525633652512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21525633652512 is an abundant number, since it is smaller than the sum of its proper divisors (40116884227872).

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

21525633652512 is a wasteful number, since it uses less digits than its factorization.

21525633652512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307762 (or 307754 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The spelling of 21525633652512 in words is "twenty-one trillion, five hundred twenty-five billion, six hundred thirty-three million, six hundred fifty-two thousand, five hundred twelve".