253656523853604 has 441 divisors, whose sum is σ = 719236165525563. Its totient is φ = 78239221555824.

The previous prime is 253656523853599. The next prime is 253656523853633. The reversal of 253656523853604 is 406358325656352.

The square root of 253656523853604 is 15926598.

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

253656523853604 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 5 + 65 + 2 + 38 + 536 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 5898988926807 + ... + 5898988926849.

Almost surely, 2^{253656523853604} is an apocalyptic number.

253656523853604 is the 15926598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253656523853604

253656523853604 is an abundant number, since it is smaller than the sum of its proper divisors (465579641671959).

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

253656523853604 is an frugal number, since it uses more digits than its factorization.

253656523853604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 466560000, while the sum is 63.

The spelling of 253656523853604 in words is "two hundred fifty-three trillion, six hundred fifty-six billion, five hundred twenty-three million, eight hundred fifty-three thousand, six hundred four".