1007331613 has 8 divisors (see below), whose sum is σ = 1026800600. Its totient is φ = 987958080.

The previous prime is 1007331581. The next prime is 1007331641. The reversal of 1007331613 is 3161337001.

1007331613 = 22442² + 22443².

It can be written as a sum of positive squares in 4 ways, for example, as 171138724 + 836192889 = 13082^2 + 28917^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007331613 - 2⁵ = 1007331581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007331643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2370 + ... + 44947.

It is an arithmetic number, because the mean of its divisors is an integer number (128350075).

Almost surely, 2^1007331613 is an apocalyptic number.

1007331613 is the 22443-rd centered square number.

It is an amenable number.

1007331613 is a deficient number, since it is larger than the sum of its proper divisors (19468987).

1007331613 is an equidigital number, since it uses as much as digits as its factorization.

1007331613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47727.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 1007331613 is about 31738.4878814351. The cubic root of 1007331613 is about 1002.4379227030.

Adding to 1007331613 its reverse (3161337001), we get a palindrome (4168668614).

The spelling of 1007331613 in words is "one billion, seven million, three hundred thirty-one thousand, six hundred thirteen".