211513264611625 has 32 divisors (see below), whose sum is σ = 264951043183008. Its totient is φ = 168581166854400.

The previous prime is 211513264611619. The next prime is 211513264611643. The reversal of 211513264611625 is 526116462315112.

It can be written as a sum of positive squares in 16 ways, for example, as 2248716183184 + 209264548428441 = 1499572^2 + 14465979^2 .

It is not a de Polignac number, because 211513264611625 - 2³ = 211513264611617 is a prime.

It is a super-2 number, since 2×211513264611625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118253467 + ... + 120028783.

It is an arithmetic number, because the mean of its divisors is an integer number (8279720099469).

Almost surely, 2^{211513264611625} is an apocalyptic number.

211513264611625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211513264611625 is a deficient number, since it is larger than the sum of its proper divisors (53437778571383).

211513264611625 is a wasteful number, since it uses less digits than its factorization.

211513264611625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778878 (or 1778868 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The spelling of 211513264611625 in words is "two hundred eleven trillion, five hundred thirteen billion, two hundred sixty-four million, six hundred eleven thousand, six hundred twenty-five".