21533414504225 has 48 divisors (see below), whose sum is σ = 30458520998640. Its totient is φ = 14960490086400.

The previous prime is 21533414504213. The next prime is 21533414504279. The reversal of 21533414504225 is 52240541433512.

It can be written as a sum of positive squares in 24 ways, for example, as 12080692081441 + 9452722422784 = 3475729^2 + 3074528^2 .

It is a de Polignac number, because none of the positive numbers 2^k-21533414504225 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13737521 + ... + 15224529.

It is an arithmetic number, because the mean of its divisors is an integer number (634552520805).

Almost surely, 2^{21533414504225} is an apocalyptic number.

21533414504225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21533414504225 is a deficient number, since it is larger than the sum of its proper divisors (8925106494415).

21533414504225 is a wasteful number, since it uses less digits than its factorization.

21533414504225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489670 (or 1489665 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

Adding to 21533414504225 its reverse (52240541433512), we get a palindrome (73773955937737).

It can be divided in two parts, 2153341 and 4504225, that added together give a palindrome (6657566).

The spelling of 21533414504225 in words is "twenty-one trillion, five hundred thirty-three billion, four hundred fourteen million, five hundred four thousand, two hundred twenty-five".