10360358000001 has 63 divisors (see below), whose sum is σ = 15708001623321. Its totient is φ = 6830138121984.

The previous prime is 10360357999919. The next prime is 10360358000009. The reversal of 10360358000001 is 10000085306301.

The square root of 10360358000001 is 3218751.

It is a perfect power (a square), and thus also a powerful number.

10360358000001 is a `hidden beast` number, since 1 + 0 + 3 + 603 + 58 + 0 + 0 + 0 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3499499783025 + 6860858216976 = 1870695^2 + 2619324^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10360358000001 is a prime.

It is a super-3 number, since 3×10360358000001³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10360358000009) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8429908255 + ... + 8429909483.

Almost surely, 2^{10360358000001} is an apocalyptic number.

10360358000001 is the 3218751-st square number.

10360358000001 is the 1609376-th centered octagonal number.

It is an amenable number.

10360358000001 is a deficient number, since it is larger than the sum of its proper divisors (5347643623320).

10360358000001 is an frugal number, since it uses more digits than its factorization.

10360358000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

It can be divided in two parts, 1036035 and 8000001, that added together give a square (9036036 = 3006²).

The spelling of 10360358000001 in words is "ten trillion, three hundred sixty billion, three hundred fifty-eight million, one", and thus it is an aban number.