10052417406645 has 24 divisors (see below), whose sum is σ = 17584045135800. Its totient is φ = 5312103140736.

The previous prime is 10052417406607. The next prime is 10052417406649. The reversal of 10052417406645 is 54660471425001.

10052417406645 is a `hidden beast` number, since 10 + 0 + 524 + 1 + 74 + 0 + 6 + 6 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1313405389521 + 8739012017124 = 1146039^2 + 2956182^2 .

It is not a de Polignac number, because 10052417406645 - 2⁸ = 10052417406389 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10052417406645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052417406649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024706350 + ... + 1024716159.

It is an arithmetic number, because the mean of its divisors is an integer number (732668547325).

Almost surely, 2^{10052417406645} is an apocalyptic number.

10052417406645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10052417406645 is a deficient number, since it is larger than the sum of its proper divisors (7531627729155).

10052417406645 is a wasteful number, since it uses less digits than its factorization.

10052417406645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049422629 (or 2049422626 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 10052417406645 in words is "ten trillion, fifty-two billion, four hundred seventeen million, four hundred six thousand, six hundred forty-five".