252566553600 has 495 divisors, whose sum is σ = 937911656847. Its totient is φ = 67158097920.

The previous prime is 252566553521. The next prime is 252566553641. The reversal of 252566553600 is 6355665252.

The square root of 252566553600 is 502560.

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

252566553600 is a `hidden beast` number, since 2 + 5 + 2 + 56 + 65 + 536 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2598552576 + 249968001024 = 50976^2 + 499968^2 .

It is a super-3 number, since 3×252566553600³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 723686226 + ... + 723686574.

Almost surely, 2^252566553600 is an apocalyptic number.

252566553600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

252566553600 is the 502560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252566553600

252566553600 is an abundant number, since it is smaller than the sum of its proper divisors (685345103247).

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

252566553600 is an frugal number, since it uses more digits than its factorization.

252566553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 252566553600 in words is "two hundred fifty-two billion, five hundred sixty-six million, five hundred fifty-three thousand, six hundred".