213762541546053 has 12 divisors (see below), whose sum is σ = 308768779282860. Its totient is φ = 142508054700096.

The previous prime is 213762541545961. The next prime is 213762541546133. The reversal of 213762541546053 is 350645145267312.

213762541546053 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 6 + 2 + 5 + 41 + 546 + 0 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1765650973284 + 211996890572769 = 1328778^2 + 14560113^2 .

It is not a de Polignac number, because 213762541546053 - 2⁸ = 213762541545797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213762541506053) 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 11 ways as a sum of consecutive naturals, for example, 21067026 + ... + 29518547.

It is an arithmetic number, because the mean of its divisors is an integer number (25730731606905).

Almost surely, 2^{213762541546053} is an apocalyptic number.

It is an amenable number.

213762541546053 is a deficient number, since it is larger than the sum of its proper divisors (95006237736807).

213762541546053 is a wasteful number, since it uses less digits than its factorization.

213762541546053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51055108 (or 51055105 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 213762541546053 in words is "two hundred thirteen trillion, seven hundred sixty-two billion, five hundred forty-one million, five hundred forty-six thousand, fifty-three".