1007756766131 has 2 divisors, whose sum is σ = 1007756766132. Its totient is φ = 1007756766130.

The previous prime is 1007756766101. The next prime is 1007756766139. The reversal of 1007756766131 is 1316676577001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1007756766131 - 2³⁰ = 1006683024307 is a prime.

It is a super-2 number, since 2×1007756766131² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1007756766131.

It is not a weakly prime, because it can be changed into another prime (1007756766139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503878383065 + 503878383066.

It is an arithmetic number, because the mean of its divisors is an integer number (503878383066).

Almost surely, 2^{1007756766131} is an apocalyptic number.

1007756766131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007756766131 is an equidigital number, since it uses as much as digits as its factorization.

1007756766131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1111320, while the sum is 50.

The spelling of 1007756766131 in words is "one trillion, seven billion, seven hundred fifty-six million, seven hundred sixty-six thousand, one hundred thirty-one".