1509965825 has 12 divisors (see below), whose sum is σ = 1932757248. Its totient is φ = 1169005200.

The previous prime is 1509965791. The next prime is 1509965837. The reversal of 1509965825 is 5285699051.

It is not a de Polignac number, because 1509965825 - 2³⁰ = 436224001 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 973397 + ... + 974946.

It is an arithmetic number, because the mean of its divisors is an integer number (161063104).

Almost surely, 2^1509965825 is an apocalyptic number.

It is an amenable number.

1509965825 is a deficient number, since it is larger than the sum of its proper divisors (422791423).

1509965825 is a wasteful number, since it uses less digits than its factorization.

1509965825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948384 (or 1948379 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 50.

The square root of 1509965825 is about 38858.2787189551. The cubic root of 1509965825 is about 1147.2437648057.

The spelling of 1509965825 in words is "one billion, five hundred nine million, nine hundred sixty-five thousand, eight hundred twenty-five".