10033002961 has 2 divisors, whose sum is σ = 10033002962. Its totient is φ = 10033002960.

The previous prime is 10033002919. The next prime is 10033003007. The reversal of 10033002961 is 16920033001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9549002961 + 484000000 = 97719^2 + 22000^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033002961 - 2²⁹ = 9496132049 is a prime.

It is a super-2 number, since 2×10033002961² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10033002461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016501480 + 5016501481.

It is an arithmetic number, because the mean of its divisors is an integer number (5016501481).

Almost surely, 2^10033002961 is an apocalyptic number.

It is an amenable number.

10033002961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033002961 is an equidigital number, since it uses as much as digits as its factorization.

10033002961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 10033002961 its reverse (16920033001), we get a palindrome (26953035962).

The spelling of 10033002961 in words is "ten billion, thirty-three million, two thousand, nine hundred sixty-one".