212905585701 has 20 divisors (see below), whose sum is σ = 318177342252. Its totient is φ = 141877614528.

The previous prime is 212905585661. The next prime is 212905585721. The reversal of 212905585701 is 107585509212.

212905585701 is a `hidden beast` number, since 2 + 1 + 2 + 90 + 558 + 5 + 7 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87068665476 + 125836920225 = 295074^2 + 354735^2 .

It is not a de Polignac number, because 212905585701 - 2¹⁸ = 212905323557 is a prime.

It is a super-2 number, since 2×212905585701² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212905585721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 355366 + ... + 743031.

Almost surely, 2^212905585701 is an apocalyptic number.

It is an amenable number.

212905585701 is a deficient number, since it is larger than the sum of its proper divisors (105271756551).

212905585701 is a wasteful number, since it uses less digits than its factorization.

212905585701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100802 (or 1100793 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 212905585701 in words is "two hundred twelve billion, nine hundred five million, five hundred eighty-five thousand, seven hundred one".