1355656500 has 480 divisors, whose sum is σ = 5137292160. Its totient is φ = 307584000.

The previous prime is 1355656499. The next prime is 1355656507. The reversal of 1355656500 is 56565531.

1355656500 is a `hidden beast` number, since 1 + 3 + 556 + 56 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355656507) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7573411 + ... + 7573589.

It is an arithmetic number, because the mean of its divisors is an integer number (10702692).

Almost surely, 2^1355656500 is an apocalyptic number.

1355656500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355656500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568646080).

1355656500 is an abundant number, since it is smaller than the sum of its proper divisors (3781635660).

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

1355656500 is a wasteful number, since it uses less digits than its factorization.

1355656500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 1355656500 is about 36819.2408938587. The cubic root of 1355656500 is about 1106.7509078870.

The spelling of 1355656500 in words is "one billion, three hundred fifty-five million, six hundred fifty-six thousand, five hundred".