252337586345 has 32 divisors (see below), whose sum is σ = 332476758432. Its totient is φ = 182726019072.

The previous prime is 252337586339. The next prime is 252337586351. The reversal of 252337586345 is 543685733252.

It is an interprime number because it is at equal distance from previous prime (252337586339) and next prime (252337586351).

It can be written as a sum of positive squares in 16 ways, for example, as 21518836249 + 230818750096 = 146693^2 + 480436^2 .

It is a cyclic number.

It is not a de Polignac number, because 252337586345 - 2¹⁰ = 252337585321 is a prime.

It is a Curzon 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, 667187 + ... + 974583.

It is an arithmetic number, because the mean of its divisors is an integer number (10389898701).

Almost surely, 2^252337586345 is an apocalyptic number.

It is an amenable number.

252337586345 is a deficient number, since it is larger than the sum of its proper divisors (80139172087).

252337586345 is a wasteful number, since it uses less digits than its factorization.

252337586345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307661.

The product of its digits is 18144000, while the sum is 53.

The spelling of 252337586345 in words is "two hundred fifty-two billion, three hundred thirty-seven million, five hundred eighty-six thousand, three hundred forty-five".