1007131365 has 24 divisors (see below), whose sum is σ = 1748617728. Its totient is φ = 536237280.

The previous prime is 1007131361. The next prime is 1007131393. The reversal of 1007131365 is 5631317001.

It is not a de Polignac number, because 1007131365 - 2² = 1007131361 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007131361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8880 + ... + 45750.

It is an arithmetic number, because the mean of its divisors is an integer number (72859072).

Almost surely, 2^1007131365 is an apocalyptic number.

1007131365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1007131365 is a deficient number, since it is larger than the sum of its proper divisors (741486363).

1007131365 is a wasteful number, since it uses less digits than its factorization.

1007131365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37489 (or 37486 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1007131365 is about 31735.3330689942. Note that the first 3 decimals coincide. The cubic root of 1007131365 is about 1002.3714932407.

Adding to 1007131365 its reverse (5631317001), we get a palindrome (6638448366).

The spelling of 1007131365 in words is "one billion, seven million, one hundred thirty-one thousand, three hundred sixty-five".