211024000413 has 10 divisors (see below), whose sum is σ = 315233383454. Its totient is φ = 140682666888.

The previous prime is 211024000387. The next prime is 211024000417. The reversal of 211024000413 is 314000420112.

211024000413 is a `hidden beast` number, since 2 + 1 + 10 + 240 + 0 + 0 + 413 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133398796644 + 77625203769 = 365238^2 + 278613^2 .

It is not a de Polignac number, because 211024000413 - 2¹⁸ = 211023738269 is a prime.

It is a super-2 number, since 2×211024000413² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211024000417) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1302617206 + ... + 1302617367.

Almost surely, 2^211024000413 is an apocalyptic number.

It is an amenable number.

211024000413 is a deficient number, since it is larger than the sum of its proper divisors (104209383041).

211024000413 is an equidigital number, since it uses as much as digits as its factorization.

211024000413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605234585 (or 2605234576 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211024000413 its reverse (314000420112), we get a palindrome (525024420525).

The spelling of 211024000413 in words is "two hundred eleven billion, twenty-four million, four hundred thirteen", and thus it is an aban number.