1509968256 has 32 divisors (see below), whose sum is σ = 4010854200. Its totient is φ = 503322624.

The previous prime is 1509968233. The next prime is 1509968269. The reversal of 1509968256 is 6528699051.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1509968199 and 1509968208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1965721 + ... + 1966488.

Almost surely, 2^1509968256 is an apocalyptic number.

1509968256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1509968256 is an abundant number, since it is smaller than the sum of its proper divisors (2500885944).

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

1509968256 is an equidigital number, since it uses as much as digits as its factorization.

1509968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932226 (or 3932214 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 1509968256 is about 38858.3099992781. The cubic root of 1509968256 is about 1147.2443804815.

The spelling of 1509968256 in words is "one billion, five hundred nine million, nine hundred sixty-eight thousand, two hundred fifty-six".