1037072313 has 12 divisors (see below), whose sum is σ = 1498521648. Its totient is φ = 691137720.

The previous prime is 1037072291. The next prime is 1037072321. The reversal of 1037072313 is 3132707301.

It is not a de Polignac number, because 1037072313 - 2⁹ = 1037071801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1037072353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8818 + ... + 46388.

It is an arithmetic number, because the mean of its divisors is an integer number (124876804).

Almost surely, 2^1037072313 is an apocalyptic number.

It is an amenable number.

1037072313 is a deficient number, since it is larger than the sum of its proper divisors (461449335).

1037072313 is a wasteful number, since it uses less digits than its factorization.

1037072313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40644 (or 40641 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 1037072313 is about 32203.6071426789. The cubic root of 1037072313 is about 1012.2078008213.

Adding to 1037072313 its reverse (3132707301), we get a palindrome (4169779614).

The spelling of 1037072313 in words is "one billion, thirty-seven million, seventy-two thousand, three hundred thirteen".