10553253100805 has 16 divisors (see below), whose sum is σ = 13418355950640. Its totient is φ = 7940339269632.

The previous prime is 10553253100781. The next prime is 10553253100829. The reversal of 10553253100805 is 50800135235501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10553253100781) and next prime (10553253100829).

It can be written as a sum of positive squares in 8 ways, for example, as 3192200408929 + 7361052691876 = 1786673^2 + 2713126^2 .

It is a cyclic number.

It is not a de Polignac number, because 10553253100805 - 2²⁴ = 10553236323589 is a prime.

It is a super-2 number, since 2×10553253100805² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43938404 + ... + 44177933.

It is an arithmetic number, because the mean of its divisors is an integer number (838647246915).

Almost surely, 2^{10553253100805} is an apocalyptic number.

It is an amenable number.

10553253100805 is a deficient number, since it is larger than the sum of its proper divisors (2865102849835).

10553253100805 is a wasteful number, since it uses less digits than its factorization.

10553253100805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88117768.

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 10553253100805 in words is "ten trillion, five hundred fifty-three billion, two hundred fifty-three million, one hundred thousand, eight hundred five".