1010131649 has 2 divisors, whose sum is σ = 1010131650. Its totient is φ = 1010131648.

The previous prime is 1010131627. The next prime is 1010131651. The reversal of 1010131649 is 9461310101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1001089600 + 9042049 = 31640^2 + 3007^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010131649 - 2²⁰ = 1009083073 is a prime.

It is a super-2 number, since 2×1010131649² = 2040731896622918402, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 1010131651, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1010134649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505065824 + 505065825.

It is an arithmetic number, because the mean of its divisors is an integer number (505065825).

Almost surely, 2^1010131649 is an apocalyptic number.

It is an amenable number.

1010131649 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010131649 is an equidigital number, since it uses as much as digits as its factorization.

1010131649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 1010131649 is about 31782.5683197567. The cubic root of 1010131649 is about 1003.3658745113.

The spelling of 1010131649 in words is "one billion, ten million, one hundred thirty-one thousand, six hundred forty-nine".