1077506007507 has 12 divisors (see below), whose sum is σ = 1566843189600. Its totient is φ = 713516281488.

The previous prime is 1077506007503. The next prime is 1077506007511. The reversal of 1077506007507 is 7057006057701.

1077506007507 is a `hidden beast` number, since 1 + 0 + 77 + 506 + 0 + 0 + 75 + 0 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (1077506007503) and next prime (1077506007511).

It is not a de Polignac number, because 1077506007507 - 2² = 1077506007503 is a prime.

It is a super-2 number, since 2×1077506007507² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1077506007503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401753323 + ... + 401756004.

It is an arithmetic number, because the mean of its divisors is an integer number (130570265800).

Almost surely, 2^{1077506007507} is an apocalyptic number.

1077506007507 is a deficient number, since it is larger than the sum of its proper divisors (489337182093).

1077506007507 is a wasteful number, since it uses less digits than its factorization.

1077506007507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803509482 (or 803509479 counting only the distinct ones).

The product of its (nonzero) digits is 360150, while the sum is 45.

The spelling of 1077506007507 in words is "one trillion, seventy-seven billion, five hundred six million, seven thousand, five hundred seven".