1305016095 has 64 divisors (see below), whose sum is σ = 2206310400. Its totient is φ = 657807360.

The previous prime is 1305016091. The next prime is 1305016099. The reversal of 1305016095 is 5906105031.

It is an interprime number because it is at equal distance from previous prime (1305016091) and next prime (1305016099).

It is not a de Polignac number, because 1305016095 - 2² = 1305016091 is a prime.

1305016095 is a modest number, since divided by 16095 gives 1305 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305016091) 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 63 ways as a sum of consecutive naturals, for example, 6832450 + ... + 6832640.

It is an arithmetic number, because the mean of its divisors is an integer number (34473600).

Almost surely, 2^1305016095 is an apocalyptic number.

1305016095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1305016095 is a deficient number, since it is larger than the sum of its proper divisors (901294305).

1305016095 is a wasteful number, since it uses less digits than its factorization.

1305016095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 1305016095 is about 36125.0065051897. The cubic root of 1305016095 is about 1092.7948072194.

The spelling of 1305016095 in words is "one billion, three hundred five million, sixteen thousand, ninety-five".