83121348527253 has 24 divisors (see below), whose sum is σ = 124125764612096. Its totient is φ = 53559487116000.

The previous prime is 83121348527201. The next prime is 83121348527257. The reversal of 83121348527253 is 35272584312138.

83121348527253 is a `hidden beast` number, since 8 + 3 + 1 + 21 + 3 + 48 + 527 + 2 + 53 = 666.

It is not a de Polignac number, because 83121348527253 - 2²⁶ = 83121281418389 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83121348527253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83121348527257) by changing a digit.

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, 826485013 + ... + 826585578.

Almost surely, 2^{83121348527253} is an apocalyptic number.

It is an amenable number.

83121348527253 is a deficient number, since it is larger than the sum of its proper divisors (41004416084843).

83121348527253 is a wasteful number, since it uses less digits than its factorization.

83121348527253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653070785 (or 1653070782 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 83121348527253 in words is "eighty-three trillion, one hundred twenty-one billion, three hundred forty-eight million, five hundred twenty-seven thousand, two hundred fifty-three".