1072635618249 has 36 divisors (see below), whose sum is σ = 1701342040320. Its totient is φ = 650786441760.

The previous prime is 1072635618233. The next prime is 1072635618269. The reversal of 1072635618249 is 9428165362701.

It is a happy number.

1072635618249 is a `hidden beast` number, since 1 + 0 + 72 + 6 + 3 + 561 + 8 + 2 + 4 + 9 = 666.

It is not a de Polignac number, because 1072635618249 - 2⁴ = 1072635618233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1072635618195 and 1072635618204.

It is not an unprimeable number, because it can be changed into a prime (1072635618269) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4858329 + ... + 5074310.

It is an arithmetic number, because the mean of its divisors is an integer number (47259501120).

It is a 1-persistent number, because it is pandigital, but 2⋅1072635618249 = 2145271236498 is not.

Almost surely, 2^{1072635618249} is an apocalyptic number.

It is an amenable number.

1072635618249 is a deficient number, since it is larger than the sum of its proper divisors (628706422071).

1072635618249 is a wasteful number, since it uses less digits than its factorization.

1072635618249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932742 (or 9932726 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1072635618249 in words is "one trillion, seventy-two billion, six hundred thirty-five million, six hundred eighteen thousand, two hundred forty-nine".