1301006617 has 20 divisors (see below), whose sum is σ = 1423050676. Its totient is φ = 1188552960.

The previous prime is 1301006591. The next prime is 1301006633. The reversal of 1301006617 is 7166001031.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 132802576 + 1168204041 = 11524^2 + 34179^2 .

It is not a de Polignac number, because 1301006617 - 2⁷ = 1301006489 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1301006591 and 1301006600.

It is not an unprimeable number, because it can be changed into a prime (1301006117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3090067 + ... + 3090487.

Almost surely, 2^1301006617 is an apocalyptic number.

1301006617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1301006617 is a deficient number, since it is larger than the sum of its proper divisors (122044059).

1301006617 is an frugal number, since it uses more digits than its factorization.

1301006617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 1301006617 is about 36069.4693196337. The cubic root of 1301006617 is about 1091.6745064436.

Adding to 1301006617 its reverse (7166001031), we get a palindrome (8467007648).

It can be divided in two parts, 13010066 and 17, that multiplied together give a palindrome (221171122).

The spelling of 1301006617 in words is "one billion, three hundred one million, six thousand, six hundred seventeen".