5006100510577 has 2 divisors, whose sum is σ = 5006100510578. Its totient is φ = 5006100510576.

The previous prime is 5006100510571. The next prime is 5006100510613. The reversal of 5006100510577 is 7750150016005.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3907259869041 + 1098840641536 = 1976679^2 + 1048256^2 .

It is a cyclic number.

It is not a de Polignac number, because 5006100510577 - 2²⁷ = 5005966292849 is a prime.

It is a super-2 number, since 2×5006100510577² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5006100510571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2503050255288 + 2503050255289.

It is an arithmetic number, because the mean of its divisors is an integer number (2503050255289).

Almost surely, 2^{5006100510577} is an apocalyptic number.

It is an amenable number.

5006100510577 is a deficient number, since it is larger than the sum of its proper divisors (1).

5006100510577 is an equidigital number, since it uses as much as digits as its factorization.

5006100510577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36750, while the sum is 37.

The spelling of 5006100510577 in words is "five trillion, six billion, one hundred million, five hundred ten thousand, five hundred seventy-seven".