1005211405 has 16 divisors (see below), whose sum is σ = 1332576000. Its totient is φ = 721805760.

The previous prime is 1005211381. The next prime is 1005211421. The reversal of 1005211405 is 5041125001.

It is not a de Polignac number, because 1005211405 - 2⁵ = 1005211373 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111330 + ... + 120019.

It is an arithmetic number, because the mean of its divisors is an integer number (83286000).

Almost surely, 2^1005211405 is an apocalyptic number.

It is an amenable number.

1005211405 is a deficient number, since it is larger than the sum of its proper divisors (327364595).

1005211405 is a wasteful number, since it uses less digits than its factorization.

1005211405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231444.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 1005211405 is about 31705.0690742033. The cubic root of 1005211405 is about 1001.7341260685.

Adding to 1005211405 its reverse (5041125001), we get a palindrome (6046336406).

It can be divided in two parts, 100521 and 1405, that added together give a triangular number (101926 = T₄₅₁).

The spelling of 1005211405 in words is "one billion, five million, two hundred eleven thousand, four hundred five".