1005050961 has 24 divisors (see below), whose sum is σ = 1560673920. Its totient is φ = 621258336.

The previous prime is 1005050957. The next prime is 1005050971. The reversal of 1005050961 is 1690505001.

1005050961 is a `hidden beast` number, since 100 + 50 + 509 + 6 + 1 = 666.

It is not a de Polignac number, because 1005050961 - 2² = 1005050957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005050951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54490 + ... + 70563.

It is an arithmetic number, because the mean of its divisors is an integer number (65028080).

Almost surely, 2^1005050961 is an apocalyptic number.

It is an amenable number.

1005050961 is a deficient number, since it is larger than the sum of its proper divisors (555622959).

1005050961 is a wasteful number, since it uses less digits than its factorization.

1005050961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125125 (or 125122 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 1005050961 is about 31702.5387153774. The cubic root of 1005050961 is about 1001.6808269047.

Adding to 1005050961 its reverse (1690505001), we get a palindrome (2695555962).

The spelling of 1005050961 in words is "one billion, five million, fifty thousand, nine hundred sixty-one".