252566553601 has 8 divisors (see below), whose sum is σ = 252735303464. Its totient is φ = 252397866240.

The previous prime is 252566553521. The next prime is 252566553641. The reversal of 252566553601 is 106355665252.

It is a happy number.

It is a Cunningham number, because it is equal to 502560²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 252566553600 = 1^2 + 502560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252566553601 - 2¹¹ = 252566551553 is a prime.

It is a super-3 number, since 3×252566553601³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252566553641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10140175 + ... + 10165051.

It is an arithmetic number, because the mean of its divisors is an integer number (31591912933).

Almost surely, 2^252566553601 is an apocalyptic number.

It is an amenable number.

252566553601 is a deficient number, since it is larger than the sum of its proper divisors (168749863).

252566553601 is a wasteful number, since it uses less digits than its factorization.

252566553601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31251.

The product of its (nonzero) digits is 1620000, while the sum is 46.

The spelling of 252566553601 in words is "two hundred fifty-two billion, five hundred sixty-six million, five hundred fifty-three thousand, six hundred one".