21735461652513 has 16 divisors (see below), whose sum is σ = 33121219979136. Its totient is φ = 12420070110720.

The previous prime is 21735461652511. The next prime is 21735461652523. The reversal of 21735461652513 is 31525616453712.

It is not a de Polignac number, because 21735461652513 - 2¹ = 21735461652511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21735461652511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6686256 + ... + 9390257.

It is an arithmetic number, because the mean of its divisors is an integer number (2070076248696).

Almost surely, 2^{21735461652513} is an apocalyptic number.

It is an amenable number.

21735461652513 is a deficient number, since it is larger than the sum of its proper divisors (11385758326623).

21735461652513 is a wasteful number, since it uses less digits than its factorization.

21735461652513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16140904.

The product of its digits is 4536000, while the sum is 51.

The spelling of 21735461652513 in words is "twenty-one trillion, seven hundred thirty-five billion, four hundred sixty-one million, six hundred fifty-two thousand, five hundred thirteen".