10361788065 has 48 divisors (see below), whose sum is σ = 19230728400. Its totient is φ = 5142736896.

The previous prime is 10361788049. The next prime is 10361788069. The reversal of 10361788065 is 56088716301.

It can be written as a sum of positive squares in 8 ways, for example, as 113870241 + 10247917824 = 10671^2 + 101232^2 .

It is not a de Polignac number, because 10361788065 - 2⁴ = 10361788049 is a prime.

It is a super-3 number, since 3×10361788065³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10361788065.

It is not an unprimeable number, because it can be changed into a prime (10361788069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8010 + ... + 144179.

It is an arithmetic number, because the mean of its divisors is an integer number (400640175).

Almost surely, 2^10361788065 is an apocalyptic number.

10361788065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10361788065 is a deficient number, since it is larger than the sum of its proper divisors (8868940335).

10361788065 is a wasteful number, since it uses less digits than its factorization.

10361788065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152306 (or 152303 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10361788065 in words is "ten billion, three hundred sixty-one million, seven hundred eighty-eight thousand, sixty-five".