10005001031477 has 2 divisors, whose sum is σ = 10005001031478. Its totient is φ = 10005001031476.

The previous prime is 10005001031419. The next prime is 10005001031479. The reversal of 10005001031477 is 77413010050001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8917097794801 + 1087903236676 = 2986151^2 + 1043026^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10005001031477 is a prime.

Together with 10005001031479, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005001031479) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002500515738 + 5002500515739.

It is an arithmetic number, because the mean of its divisors is an integer number (5002500515739).

Almost surely, 2^{10005001031477} is an apocalyptic number.

It is an amenable number.

10005001031477 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005001031477 is an equidigital number, since it uses as much as digits as its factorization.

10005001031477 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2940, while the sum is 29.

Adding to 10005001031477 its reverse (77413010050001), we get a palindrome (87418011081478).

The spelling of 10005001031477 in words is "ten trillion, five billion, one million, thirty-one thousand, four hundred seventy-seven".