1077605600331 has 24 divisors (see below), whose sum is σ = 1560166997760. Its totient is φ = 661294604256.

The previous prime is 1077605600321. The next prime is 1077605600363. The reversal of 1077605600331 is 1330065067701.

It is not a de Polignac number, because 1077605600331 - 2¹¹ = 1077605598283 is a prime.

It is a super-2 number, since 2×1077605600331² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1077605600331.

It is not an unprimeable number, because it can be changed into a prime (1077605600321) 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, 2778231 + ... + 3142256.

It is an arithmetic number, because the mean of its divisors is an integer number (65006958240).

Almost surely, 2^{1077605600331} is an apocalyptic number.

1077605600331 is a deficient number, since it is larger than the sum of its proper divisors (482561397429).

1077605600331 is a wasteful number, since it uses less digits than its factorization.

1077605600331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920875 (or 5920862 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The spelling of 1077605600331 in words is "one trillion, seventy-seven billion, six hundred five million, six hundred thousand, three hundred thirty-one".