1005015120 has 40 divisors (see below), whose sum is σ = 3115547616. Its totient is φ = 268003968.

The previous prime is 1005015103. The next prime is 1005015223. The reversal of 1005015120 is 215105001.

1005015120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1005015120² = 2020110782857228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1005015120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2093542 + ... + 2094021.

Almost surely, 2^1005015120 is an apocalyptic number.

1005015120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005015120 is an abundant number, since it is smaller than the sum of its proper divisors (2110532496).

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

1005015120 is a wasteful number, since it uses less digits than its factorization.

1005015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187579 (or 4187573 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 1005015120 is about 31701.9734401504. The cubic root of 1005015120 is about 1001.6689198238.

The spelling of 1005015120 in words is "one billion, five million, fifteen thousand, one hundred twenty".