213177024765 has 12 divisors (see below), whose sum is σ = 369506843004. Its totient is φ = 113694413184.

The previous prime is 213177024751. The next prime is 213177024793. The reversal of 213177024765 is 567420771312.

213177024765 is a `hidden beast` number, since 2 + 1 + 3 + 177 + 0 + 2 + 476 + 5 = 666.

213177024765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 115799325849 + 97377698916 = 340293^2 + 312054^2 .

It is not a de Polignac number, because 213177024765 - 2⁷ = 213177024637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 4737267217 = 213177024765 / (2 + 1 + 3 + 1 + 7 + 7 + 0 + 2 + 4 + 7 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 213177024765.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2368633564 + ... + 2368633653.

It is an arithmetic number, because the mean of its divisors is an integer number (30792236917).

Almost surely, 2^213177024765 is an apocalyptic number.

It is an amenable number.

213177024765 is a deficient number, since it is larger than the sum of its proper divisors (156329818239).

213177024765 is a wasteful number, since it uses less digits than its factorization.

213177024765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737267228 (or 4737267225 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 213177024765 in words is "two hundred thirteen billion, one hundred seventy-seven million, twenty-four thousand, seven hundred sixty-five".