10369681599601 has 9 divisors (see below), whose sum is σ = 10409243445003. Its totient is φ = 10330269584040.

The previous prime is 10369681599553. The next prime is 10369681599637. The reversal of 10369681599601 is 10699518696301.

The square root of 10369681599601 is 3220199.

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

It can be written as a sum of positive squares in only one way, i.e., 682274348001 + 9687407251600 = 825999^2 + 3112460^2 .

It is not a de Polignac number, because 10369681599601 - 2⁴¹ = 8170658344049 is a prime.

It is a super-3 number, since 3×10369681599601³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10369681591601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 866227546 + ... + 866239516.

Almost surely, 2^{10369681599601} is an apocalyptic number.

10369681599601 is the 3220199-th square number.

10369681599601 is the 1610100-th centered octagonal number.

It is an amenable number.

10369681599601 is a deficient number, since it is larger than the sum of its proper divisors (39561845402).

10369681599601 is an frugal number, since it uses more digits than its factorization.

10369681599601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24480 (or 12240 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 64.

Multiplying 10369681599601 by its sum of digits (64), we get a square (663659622374464 = 25761592²).

The spelling of 10369681599601 in words is "ten trillion, three hundred sixty-nine billion, six hundred eighty-one million, five hundred ninety-nine thousand, six hundred one".