1013309480 has 32 divisors (see below), whose sum is σ = 2414062440. Its totient is φ = 381480960.

The previous prime is 1013309471. The next prime is 1013309527. The reversal of 1013309480 is 849033101.

It can be written as a sum of positive squares in 4 ways, for example, as 853691524 + 159617956 = 29218^2 + 12634^2 .

It is a super-3 number, since 3×1013309480³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744401 + ... + 745760.

Almost surely, 2^1013309480 is an apocalyptic number.

1013309480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013309480 is an abundant number, since it is smaller than the sum of its proper divisors (1400752960).

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

1013309480 is a wasteful number, since it uses less digits than its factorization.

1013309480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490189 (or 1490185 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1013309480 is about 31832.5223631430. The cubic root of 1013309480 is about 1004.4169551166.

The spelling of 1013309480 in words is "one billion, thirteen million, three hundred nine thousand, four hundred eighty".