506106001057 has 2 divisors, whose sum is σ = 506106001058. Its totient is φ = 506106001056.

The previous prime is 506106000973. The next prime is 506106001099. The reversal of 506106001057 is 750100601605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 501251256081 + 4854744976 = 707991^2 + 69676^2 .

It is a cyclic number.

It is not a de Polignac number, because 506106001057 - 2⁷ = 506106000929 is a prime.

It is a super-2 number, since 2×506106001057² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (506106001157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253053000528 + 253053000529.

It is an arithmetic number, because the mean of its divisors is an integer number (253053000529).

Almost surely, 2^506106001057 is an apocalyptic number.

It is an amenable number.

506106001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

506106001057 is an equidigital number, since it uses as much as digits as its factorization.

506106001057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 506106001057 in words is "five hundred six billion, one hundred six million, one thousand, fifty-seven".