1305630142005 has 128 divisors (see below), whose sum is σ = 2595336192000. Its totient is φ = 546957619200.

The previous prime is 1305630141979. The next prime is 1305630142007. The reversal of 1305630142005 is 5002410365031.

It is not a de Polignac number, because 1305630142005 - 2⁶ = 1305630141941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305630142007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213300345 + ... + 213306465.

It is an arithmetic number, because the mean of its divisors is an integer number (20276064000).

Almost surely, 2^{1305630142005} is an apocalyptic number.

1305630142005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305630142005 is a deficient number, since it is larger than the sum of its proper divisors (1289706049995).

1305630142005 is a wasteful number, since it uses less digits than its factorization.

1305630142005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9635.

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 1305630142005 in words is "one trillion, three hundred five billion, six hundred thirty million, one hundred forty-two thousand, five".