1005205201 has 24 divisors (see below), whose sum is σ = 1359885632. Its totient is φ = 723016800.

The previous prime is 1005205177. The next prime is 1005205207. The reversal of 1005205201 is 1025025001.

It is not a de Polignac number, because 1005205201 - 2⁹ = 1005204689 is a prime.

It is a super-2 number, since 2×1005205201² = 2020874992234900802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005205207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34635 + ... + 56656.

Almost surely, 2^1005205201 is an apocalyptic number.

1005205201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005205201 is a deficient number, since it is larger than the sum of its proper divisors (354680431).

1005205201 is a wasteful number, since it uses less digits than its factorization.

1005205201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91333 (or 91322 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1005205201 is about 31704.9712348080. The cubic root of 1005205201 is about 1001.7320652180.

The spelling of 1005205201 in words is "one billion, five million, two hundred five thousand, two hundred one".