1012015305 has 96 divisors (see below), whose sum is σ = 2126112768. Its totient is φ = 435456000.

The previous prime is 1012015289. The next prime is 1012015339. The reversal of 1012015305 is 5035102101.

1012015305 is a `hidden beast` number, since 10 + 120 + 1 + 530 + 5 = 666.

It is not a de Polignac number, because 1012015305 - 2⁴ = 1012015289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359905 + ... + 362705.

It is an arithmetic number, because the mean of its divisors is an integer number (22147008).

Almost surely, 2^1012015305 is an apocalyptic number.

1012015305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1012015305 is an abundant number, since it is smaller than the sum of its proper divisors (1114097463).

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

1012015305 is a wasteful number, since it uses less digits than its factorization.

1012015305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1012015305 is about 31812.1879945407. The cubic root of 1012015305 is about 1003.9891670524.

Adding to 1012015305 its reverse (5035102101), we get a palindrome (6047117406).

It can be divided in two parts, 10120 and 15305, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 1012015305 in words is "one billion, twelve million, fifteen thousand, three hundred five".