1353062656 has 135 divisors (see below), whose sum is σ = 3135498555. Its totient is φ = 582658560.

The previous prime is 1353062651. The next prime is 1353062663. The reversal of 1353062656 is 6562603531.

The square root of 1353062656 is 36784.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1353062651) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 71213815 + ... + 71213833.

Almost surely, 2^1353062656 is an apocalyptic number.

1353062656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1353062656 is the 36784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353062656

1353062656 is an abundant number, since it is smaller than the sum of its proper divisors (1782435899).

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

1353062656 is an frugal number, since it uses more digits than its factorization.

1353062656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The cubic root of 1353062656 is about 1106.0445903060.

The spelling of 1353062656 in words is "one billion, three hundred fifty-three million, sixty-two thousand, six hundred fifty-six".