1006105561051 has 2 divisors, whose sum is σ = 1006105561052. Its totient is φ = 1006105561050.

The previous prime is 1006105560991. The next prime is 1006105561079. The reversal of 1006105561051 is 1501655016001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1006105561051 - 2²⁵ = 1006072006619 is a prime.

It is a super-4 number, since 4×1006105561051⁴ (a number of 49 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (1006105561651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503052780525 + 503052780526.

It is an arithmetic number, because the mean of its divisors is an integer number (503052780526).

Almost surely, 2^{1006105561051} is an apocalyptic number.

1006105561051 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006105561051 is an equidigital number, since it uses as much as digits as its factorization.

1006105561051 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 1006105561051 in words is "one trillion, six billion, one hundred five million, five hundred sixty-one thousand, fifty-one".