1509226656 has 72 divisors (see below), whose sum is σ = 4608545760. Its totient is φ = 431206272.

The previous prime is 1509226651. The next prime is 1509226699. The reversal of 1509226656 is 6566229051.

1509226656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1509226651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155716 + ... + 165123.

It is an arithmetic number, because the mean of its divisors is an integer number (64007580).

Almost surely, 2^1509226656 is an apocalyptic number.

1509226656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1509226656 is an abundant number, since it is smaller than the sum of its proper divisors (3099319104).

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

1509226656 is a wasteful number, since it uses less digits than its factorization.

1509226656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320866 (or 320851 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 1509226656 is about 38848.7664669034. The cubic root of 1509226656 is about 1147.0565319946.

The spelling of 1509226656 in words is "one billion, five hundred nine million, two hundred twenty-six thousand, six hundred fifty-six".