225310506206310 has 384 divisors, whose sum is σ = 686681888256000. Its totient is φ = 50194238201856.

The previous prime is 225310506206309. The next prime is 225310506206321. The reversal of 225310506206310 is 13602605013522.

225310506206310 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 10 + 5 + 0 + 6 + 2 + 0 + 631 + 0 = 666.

It is a super-2 number, since 2×225310506206310² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2034295894 + ... + 2034406646.

It is an arithmetic number, because the mean of its divisors is an integer number (1788234084000).

Almost surely, 2^{225310506206310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225310506206310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343340944128000).

225310506206310 is an abundant number, since it is smaller than the sum of its proper divisors (461371382049690).

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

225310506206310 is a wasteful number, since it uses less digits than its factorization.

225310506206310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111300 (or 111297 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 225310506206310 in words is "two hundred twenty-five trillion, three hundred ten billion, five hundred six million, two hundred six thousand, three hundred ten".