1010001961 has 2 divisors, whose sum is σ = 1010001962. Its totient is φ = 1010001960.

The previous prime is 1010001911. The next prime is 1010001991. The reversal of 1010001961 is 1691000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 987153561 + 22848400 = 31419^2 + 4780^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010001961 - 2⁷ = 1010001833 is a prime.

It is a super-2 number, since 2×1010001961² = 2040207922447691042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010001911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000980 + 505000981.

It is an arithmetic number, because the mean of its divisors is an integer number (505000981).

Almost surely, 2^1010001961 is an apocalyptic number.

It is an amenable number.

1010001961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001961 is an equidigital number, since it uses as much as digits as its factorization.

1010001961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 19.

The square root of 1010001961 is about 31780.5280163814. The cubic root of 1010001961 is about 1003.3229328866.

The spelling of 1010001961 in words is "one billion, ten million, one thousand, nine hundred sixty-one".