10146182561 has 2 divisors, whose sum is σ = 10146182562. Its totient is φ = 10146182560.

The previous prime is 10146182507. The next prime is 10146182569. The reversal of 10146182561 is 16528164101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7893256336 + 2252926225 = 88844^2 + 47465^2 .

It is a cyclic number.

It is not a de Polignac number, because 10146182561 - 2¹⁸ = 10145920417 is a prime.

It is a super-2 number, since 2×10146182561² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10146182569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5073091280 + 5073091281.

It is an arithmetic number, because the mean of its divisors is an integer number (5073091281).

Almost surely, 2^10146182561 is an apocalyptic number.

It is an amenable number.

10146182561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10146182561 is an equidigital number, since it uses as much as digits as its factorization.

10146182561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 10146182561 in words is "ten billion, one hundred forty-six million, one hundred eighty-two thousand, five hundred sixty-one".