312616217061 has 24 divisors (see below), whose sum is σ = 452870123160. Its totient is φ = 207805118976.

The previous prime is 312616217059. The next prime is 312616217083. The reversal of 312616217061 is 160712616213.

312616217061 is a `hidden beast` number, since 3 + 1 + 26 + 1 + 621 + 7 + 0 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60405350625 + 252210866436 = 245775^2 + 502206^2 .

It is not a de Polignac number, because 312616217061 - 2¹ = 312616217059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312616917061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8436771 + ... + 8473743.

It is an arithmetic number, because the mean of its divisors is an integer number (18869588465).

Almost surely, 2^312616217061 is an apocalyptic number.

It is an amenable number.

312616217061 is a deficient number, since it is larger than the sum of its proper divisors (140253906099).

312616217061 is a wasteful number, since it uses less digits than its factorization.

312616217061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39685 (or 39682 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 312616217061 in words is "three hundred twelve billion, six hundred sixteen million, two hundred seventeen thousand, sixty-one".