1509696385 has 32 divisors (see below), whose sum is σ = 1891073952. Its totient is φ = 1156055040.

The previous prime is 1509696367. The next prime is 1509696401. The reversal of 1509696385 is 5836969051.

It can be written as a sum of positive squares in 16 ways, for example, as 30294016 + 1479402369 = 5504^2 + 38463^2 .

It is not a de Polignac number, because 1509696385 - 2⁷ = 1509696257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5372445 + ... + 5372725.

It is an arithmetic number, because the mean of its divisors is an integer number (59096061).

Almost surely, 2^1509696385 is an apocalyptic number.

It is an amenable number.

1509696385 is a deficient number, since it is larger than the sum of its proper divisors (381377567).

1509696385 is a wasteful number, since it uses less digits than its factorization.

1509696385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693.

The product of its (nonzero) digits is 1749600, while the sum is 52.

The square root of 1509696385 is about 38854.8116068010. The cubic root of 1509696385 is about 1147.1755222573.

The spelling of 1509696385 in words is "one billion, five hundred nine million, six hundred ninety-six thousand, three hundred eighty-five".