1513832464 has 45 divisors (see below), whose sum is σ = 2996816221. Its totient is φ = 740808320.

The previous prime is 1513832461. The next prime is 1513832479. The reversal of 1513832464 is 4642383151.

The square root of 1513832464 is 38908.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 889232400 + 624600064 = 29820^2 + 24992^2 .

It is a super-2 number, since 2×1513832464² = 4583377458120622592, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1513832461) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 11049804 + ... + 11049940.

Almost surely, 2^1513832464 is an apocalyptic number.

1513832464 is the 38908-th square number.

It is an amenable number.

1513832464 is a deficient number, since it is larger than the sum of its proper divisors (1482983757).

1513832464 is an frugal number, since it uses more digits than its factorization.

1513832464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 210 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The cubic root of 1513832464 is about 1148.2221967493. Note that the first 3 decimals are identical.

The spelling of 1513832464 in words is "one billion, five hundred thirteen million, eight hundred thirty-two thousand, four hundred sixty-four".