252553086217 has 8 divisors (see below), whose sum is σ = 254038367880. Its totient is φ = 251068097280.

The previous prime is 252553086199. The next prime is 252553086251. The reversal of 252553086217 is 712680355252.

It can be written as a sum of positive squares in 4 ways, for example, as 71363245321 + 181189840896 = 267139^2 + 425664^2 .

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 252553086217 - 2²⁷ = 252418868489 is a prime.

It is a super-2 number, since 2×252553086217² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252553080217) 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, 1797409 + ... + 1932817.

It is an arithmetic number, because the mean of its divisors is an integer number (31754795985).

Almost surely, 2^252553086217 is an apocalyptic number.

It is an amenable number.

252553086217 is a deficient number, since it is larger than the sum of its proper divisors (1485281663).

252553086217 is a wasteful number, since it uses less digits than its factorization.

252553086217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146363.

The product of its (nonzero) digits is 1008000, while the sum is 46.

The spelling of 252553086217 in words is "two hundred fifty-two billion, five hundred fifty-three million, eighty-six thousand, two hundred seventeen".