10005510102352 has 40 divisors (see below), whose sum is σ = 19651800871656. Its totient is φ = 4934081581056.

The previous prime is 10005510102347. The next prime is 10005510102433. The reversal of 10005510102352 is 25320101550001.

It can be written as a sum of positive squares in 4 ways, for example, as 86386615056 + 9919123487296 = 293916^2 + 3149464^2 .

It is a super-2 number, since 2×10005510102352² (a number of 27 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 7 ways as a sum of consecutive naturals, for example, 48482328 + ... + 48688264.

Almost surely, 2^{10005510102352} is an apocalyptic number.

It is an amenable number.

10005510102352 is a deficient number, since it is larger than the sum of its proper divisors (9646290769304).

10005510102352 is a wasteful number, since it uses less digits than its factorization.

10005510102352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247615 (or 247609 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 10005510102352 its reverse (25320101550001), we get a palindrome (35325611652353).

The spelling of 10005510102352 in words is "ten trillion, five billion, five hundred ten million, one hundred two thousand, three hundred fifty-two".