1005045950 has 96 divisors (see below), whose sum is σ = 2089955520. Its totient is φ = 357632000.

The previous prime is 1005045941. The next prime is 1005045959. The reversal of 1005045950 is 595405001.

It is an interprime number because it is at equal distance from previous prime (1005045941) and next prime (1005045959).

It is a super-2 number, since 2×1005045950² = 2020234723222805000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005045959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974296 + ... + 1974804.

It is an arithmetic number, because the mean of its divisors is an integer number (21770370).

Almost surely, 2^1005045950 is an apocalyptic number.

1005045950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005045950 is an abundant number, since it is smaller than the sum of its proper divisors (1084909570).

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

1005045950 is a wasteful number, since it uses less digits than its factorization.

1005045950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 1005045950 is about 31702.4596837532. The cubic root of 1005045950 is about 1001.6791621696.

The spelling of 1005045950 in words is "one billion, five million, forty-five thousand, nine hundred fifty".