1005055016 has 64 divisors (see below), whose sum is σ = 2181945600. Its totient is φ = 425129472.

The previous prime is 1005054949. The next prime is 1005055033. The reversal of 1005055016 is 6105505001.

It is a junction number, because it is equal to n+sod(n) for n = 1005054982 and 1005055000.

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, 2063525 + ... + 2064011.

It is an arithmetic number, because the mean of its divisors is an integer number (34092900).

Almost surely, 2^1005055016 is an apocalyptic number.

It is an amenable number.

1005055016 is an abundant number, since it is smaller than the sum of its proper divisors (1176890584).

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

1005055016 is a wasteful number, since it uses less digits than its factorization.

1005055016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 1005055016 is about 31702.6026691816. The cubic root of 1005055016 is about 1001.6821740372.

The spelling of 1005055016 in words is "one billion, five million, fifty-five thousand, sixteen".