1300661505 has 96 divisors (see below), whose sum is σ = 2674788480. Its totient is φ = 576368640.

The previous prime is 1300661497. The next prime is 1300661539. The reversal of 1300661505 is 5051660031.

It is a happy number.

It is not a de Polignac number, because 1300661505 - 2³ = 1300661497 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687601 + ... + 689489.

It is an arithmetic number, because the mean of its divisors is an integer number (27862380).

Almost surely, 2^1300661505 is an apocalyptic number.

1300661505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1300661505 is an abundant number, since it is smaller than the sum of its proper divisors (1374126975).

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

1300661505 is a wasteful number, since it uses less digits than its factorization.

1300661505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1300661505 is about 36064.6850117951. The cubic root of 1300661505 is about 1091.5779700937.

The spelling of 1300661505 in words is "one billion, three hundred million, six hundred sixty-one thousand, five hundred five".