1005566121 has 12 divisors (see below), whose sum is σ = 1659982272. Its totient is φ = 574609176.

The previous prime is 1005566053. The next prime is 1005566129. The reversal of 1005566121 is 1216655001.

It is a happy number.

1005566121 is a `hidden beast` number, since 100 + 556 + 6 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 1005566121 - 2¹⁰ = 1005565097 is a prime.

It is a super-2 number, since 2×1005566121² = 2022326447405973282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005566129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7980621 + ... + 7980746.

It is an arithmetic number, because the mean of its divisors is an integer number (138331856).

Almost surely, 2^1005566121 is an apocalyptic number.

It is an amenable number.

1005566121 is a deficient number, since it is larger than the sum of its proper divisors (654416151).

1005566121 is a wasteful number, since it uses less digits than its factorization.

1005566121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15961380 (or 15961377 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1005566121 is about 31710.6625758592. The cubic root of 1005566121 is about 1001.8519418608.

It can be divided in two parts, 10055 and 66121, that added together give a square (76176 = 276²).

The spelling of 1005566121 in words is "one billion, five million, five hundred sixty-six thousand, one hundred twenty-one".