10005253202145 has 64 divisors (see below), whose sum is σ = 16713998161920. Its totient is φ = 5104903372800.

The previous prime is 10005253202141. The next prime is 10005253202201. The reversal of 10005253202145 is 54120235250001.

It is not a de Polignac number, because 10005253202145 - 2² = 10005253202141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10005253202141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219193525 + ... + 219239165.

It is an arithmetic number, because the mean of its divisors is an integer number (261156221280).

Almost surely, 2^{10005253202145} is an apocalyptic number.

10005253202145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10005253202145 is a deficient number, since it is larger than the sum of its proper divisors (6708744959775).

10005253202145 is a wasteful number, since it uses less digits than its factorization.

10005253202145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51066.

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 10005253202145 its reverse (54120235250001), we get a palindrome (64125488452146).

The spelling of 10005253202145 in words is "ten trillion, five billion, two hundred fifty-three million, two hundred two thousand, one hundred forty-five".