349712563225 has 9 divisors (see below), whose sum is σ = 433647244893. Its totient is φ = 279767685120.

The previous prime is 349712563223. The next prime is 349712563247. The reversal of 349712563225 is 522365217943.

It is a happy number.

The square root of 349712563225 is 591365.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26447541129 + 323265022096 = 162627^2 + 568564^2 .

It is not a de Polignac number, because 349712563225 - 2¹ = 349712563223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349712563223) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2897689 + ... + 3015961.

Almost surely, 2^349712563225 is an apocalyptic number.

349712563225 is the 591365-th square number.

349712563225 is the 295683-rd centered octagonal number.

It is an amenable number.

349712563225 is a deficient number, since it is larger than the sum of its proper divisors (83934681668).

349712563225 is an frugal number, since it uses more digits than its factorization.

349712563225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236556 (or 118278 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 49.

Multiplying 349712563225 by its sum of digits (49), we get a square (17135915598025 = 4139555²).

The spelling of 349712563225 in words is "three hundred forty-nine billion, seven hundred twelve million, five hundred sixty-three thousand, two hundred twenty-five".