213233757705 has 24 divisors (see below), whose sum is σ = 372085763400. Its totient is φ = 112961414400.

The previous prime is 213233757683. The next prime is 213233757743. The reversal of 213233757705 is 507757332312.

213233757705 is a `hidden beast` number, since 21 + 3 + 23 + 37 + 577 + 0 + 5 = 666.

213233757705 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 4 ways, for example, as 1239814521 + 211993943184 = 35211^2 + 460428^2 .

It is not a de Polignac number, because 213233757705 - 2¹⁹ = 213233233417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 15894396 + ... + 15907805.

It is an arithmetic number, because the mean of its divisors is an integer number (15503573475).

Almost surely, 2^213233757705 is an apocalyptic number.

It is an amenable number.

213233757705 is a deficient number, since it is larger than the sum of its proper divisors (158852005695).

213233757705 is a wasteful number, since it uses less digits than its factorization.

213233757705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31802361 (or 31802358 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 45.

The spelling of 213233757705 in words is "two hundred thirteen billion, two hundred thirty-three million, seven hundred fifty-seven thousand, seven hundred five".