1005015642 has 32 divisors (see below), whose sum is σ = 2041611264. Its totient is φ = 329779200.

The previous prime is 1005015637. The next prime is 1005015653. The reversal of 1005015642 is 2465105001.

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, 106642 + ... + 115682.

It is an arithmetic number, because the mean of its divisors is an integer number (63800352).

Almost surely, 2^1005015642 is an apocalyptic number.

1005015642 is an abundant number, since it is smaller than the sum of its proper divisors (1036595622).

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

1005015642 is a wasteful number, since it uses less digits than its factorization.

1005015642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9334.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1005015642 is about 31701.9816730753. The cubic root of 1005015642 is about 1001.6690932444.

The spelling of 1005015642 in words is "one billion, five million, fifteen thousand, six hundred forty-two".