4253506560 has 352 divisors, whose sum is σ = 15652180800. Its totient is φ = 1094123520.

The previous prime is 4253506547. The next prime is 4253506571. The reversal of 4253506560 is 656053524.

It is a happy number.

4253506560 is a `hidden beast` number, since 4 + 2 + 535 + 0 + 65 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4008430 + ... + 4009490.

Almost surely, 2^4253506560 is an apocalyptic number.

4253506560 is a gapful number since it is divisible by the number (40) 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 4253506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826090400).

4253506560 is an abundant number, since it is smaller than the sum of its proper divisors (11398674240).

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

4253506560 is a wasteful number, since it uses less digits than its factorization.

4253506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 4253506560 is about 65218.9125944308. The cubic root of 4253506560 is about 1620.2512641816.

The spelling of 4253506560 in words is "four billion, two hundred fifty-three million, five hundred six thousand, five hundred sixty".