1077137613 has 12 divisors (see below), whose sum is σ = 1556274720. Its totient is φ = 717902856.

The previous prime is 1077137597. The next prime is 1077137639. The reversal of 1077137613 is 3167317701.

1077137613 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 1 + 37 + 613 = 666.

It is not a de Polignac number, because 1077137613 - 2⁴ = 1077137597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077137693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26278 + ... + 53336.

It is an arithmetic number, because the mean of its divisors is an integer number (129689560).

Almost surely, 2^1077137613 is an apocalyptic number.

It is an amenable number.

1077137613 is a deficient number, since it is larger than the sum of its proper divisors (479137107).

1077137613 is a wasteful number, since it uses less digits than its factorization.

1077137613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31488 (or 31485 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 1077137613 is about 32819.7747250038. The cubic root of 1077137613 is about 1025.0783562546.

It can be divided in two parts, 10771 and 37613, that added together give a palindrome (48384).

The spelling of 1077137613 in words is "one billion, seventy-seven million, one hundred thirty-seven thousand, six hundred thirteen".