1253116656 has 300 divisors, whose sum is σ = 4082858472. Its totient is φ = 370656000.

The previous prime is 1253116609. The next prime is 1253116663. The reversal of 1253116656 is 6566113521.

1253116656 is a `hidden beast` number, since 12 + 531 + 1 + 66 + 56 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1253116656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9565711 + ... + 9565841.

Almost surely, 2^1253116656 is an apocalyptic number.

1253116656 is a gapful number since it is divisible by the number (16) 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 1253116656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041429236).

1253116656 is an abundant number, since it is smaller than the sum of its proper divisors (2829741816).

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

1253116656 is a wasteful number, since it uses less digits than its factorization.

1253116656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 1253116656 is about 35399.3877913164. The cubic root of 1253116656 is about 1078.1118862072. Note that the first 3 decimals are identical.

The spelling of 1253116656 in words is "one billion, two hundred fifty-three million, one hundred sixteen thousand, six hundred fifty-six".