10225205236323 has 160 divisors (see below), whose sum is σ = 19567263513600. Its totient is φ = 5165908151040.

The previous prime is 10225205236271. The next prime is 10225205236373. The reversal of 10225205236323 is 32363250252201.

10225205236323 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 52 + 0 + 523 + 63 + 23 = 666.

It is not a de Polignac number, because 10225205236323 - 2²⁹ = 10224668365411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10225205236373) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 588221490 + ... + 588238872.

It is an arithmetic number, because the mean of its divisors is an integer number (122295396960).

Almost surely, 2^{10225205236323} is an apocalyptic number.

10225205236323 is a deficient number, since it is larger than the sum of its proper divisors (9342058277277).

10225205236323 is a wasteful number, since it uses less digits than its factorization.

10225205236323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19999 (or 19990 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 10225205236323 its reverse (32363250252201), we get a palindrome (42588455488524).

The spelling of 10225205236323 in words is "ten trillion, two hundred twenty-five billion, two hundred five million, two hundred thirty-six thousand, three hundred twenty-three".