10617211000 has 64 divisors (see below), whose sum is σ = 27102872160. Its totient is φ = 3860800000.

The previous prime is 10617210973. The next prime is 10617211009. The reversal of 10617211000 is 11271601.

10617211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10617211000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10617211009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 471601 + ... + 493600.

Almost surely, 2^10617211000 is an apocalyptic number.

10617211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10617211000 is an abundant number, since it is smaller than the sum of its proper divisors (16485661160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10617211000 is a wasteful number, since it uses less digits than its factorization.

10617211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965233 (or 965219 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 10617211000 its reverse (11271601), we get a palindrome (10628482601).

The spelling of 10617211000 in words is "ten billion, six hundred seventeen million, two hundred eleven thousand".