213777841807053 has 48 divisors (see below), whose sum is σ = 320888321245440. Its totient is φ = 137043828214272.

The previous prime is 213777841807009. The next prime is 213777841807087. The reversal of 213777841807053 is 350708148777312.

213777841807053 is a `hidden beast` number, since 2 + 1 + 37 + 7 + 78 + 418 + 0 + 70 + 53 = 666.

It is not a de Polignac number, because 213777841807053 - 2¹⁸ = 213777841544909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213777841807253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41306425 + ... + 46192817.

It is an arithmetic number, because the mean of its divisors is an integer number (6685173359280).

Almost surely, 2^{213777841807053} is an apocalyptic number.

It is an amenable number.

213777841807053 is a deficient number, since it is larger than the sum of its proper divisors (107110479438387).

213777841807053 is a wasteful number, since it uses less digits than its factorization.

213777841807053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888258 (or 4888255 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

The spelling of 213777841807053 in words is "two hundred thirteen trillion, seven hundred seventy-seven billion, eight hundred forty-one million, eight hundred seven thousand, fifty-three".