210217137210819 has 48 divisors (see below), whose sum is σ = 331477008844800. Its totient is φ = 132764502720096.

The previous prime is 210217137210793. The next prime is 210217137210841. The reversal of 210217137210819 is 918012731712012.

210217137210819 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 171 + 372 + 108 + 1 + 9 = 666.

It is not a de Polignac number, because 210217137210819 - 2¹⁶ = 210217137145283 is a prime.

It is a super-2 number, since 2×210217137210819² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210217137210859) 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, 148020702 + ... + 149434140.

It is an arithmetic number, because the mean of its divisors is an integer number (6905771017600).

Almost surely, 2^{210217137210819} is an apocalyptic number.

210217137210819 is a deficient number, since it is larger than the sum of its proper divisors (121259871633981).

210217137210819 is a wasteful number, since it uses less digits than its factorization.

210217137210819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445686 (or 1445674 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 210217137210819 in words is "two hundred ten trillion, two hundred seventeen billion, one hundred thirty-seven million, two hundred ten thousand, eight hundred nineteen".