10362504384225 has 384 divisors, whose sum is σ = 24113930895360. Its totient is φ = 4253824512000.

The previous prime is 10362504384187. The next prime is 10362504384251. The reversal of 10362504384225 is 52248340526301.

10362504384225 is a `hidden beast` number, since 1 + 0 + 3 + 62 + 504 + 3 + 84 + 2 + 2 + 5 = 666.

10362504384225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10362504384225 - 2⁶ = 10362504384161 is a prime.

It is a super-3 number, since 3×10362504384225³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 176766019 + ... + 176824631.

It is an arithmetic number, because the mean of its divisors is an integer number (62796695040).

Almost surely, 2^{10362504384225} is an apocalyptic number.

10362504384225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10362504384225 is an abundant number, since it is smaller than the sum of its proper divisors (13751426511135).

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

10362504384225 is a wasteful number, since it uses less digits than its factorization.

10362504384225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58758 (or 58747 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 10362504384225 in words is "ten trillion, three hundred sixty-two billion, five hundred four million, three hundred eighty-four thousand, two hundred twenty-five".