1305146973 has 16 divisors (see below), whose sum is σ = 1919768256. Its totient is φ = 783576960.

The previous prime is 1305146963. The next prime is 1305146977. The reversal of 1305146973 is 3796415031.

It is not a de Polignac number, because 1305146973 - 2¹⁰ = 1305145949 is a prime.

It is a super-2 number, since 2×1305146973² = 3406817242262125458, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305146977) 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 15 ways as a sum of consecutive naturals, for example, 406515 + ... + 409712.

It is an arithmetic number, because the mean of its divisors is an integer number (119985516).

Almost surely, 2^1305146973 is an apocalyptic number.

1305146973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1305146973 is a deficient number, since it is larger than the sum of its proper divisors (614621283).

1305146973 is a wasteful number, since it uses less digits than its factorization.

1305146973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816284.

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 1305146973 is about 36126.8179196563. The cubic root of 1305146973 is about 1092.8313375524.

The spelling of 1305146973 in words is "one billion, three hundred five million, one hundred forty-six thousand, nine hundred seventy-three".