1010364718561 has 81 divisors (see below), whose sum is σ = 1211204711353. Its totient is φ = 842090381440.

The previous prime is 1010364718513. The next prime is 1010364718567. The reversal of 1010364718561 is 1658174630101.

It is a happy number.

The square root of 1010364718561 is 1005169.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12675382225 + 997689336336 = 112585^2 + 998844^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1010364718561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010364718567) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7374924885 + ... + 7374925021.

Almost surely, 2^{1010364718561} is an apocalyptic number.

1010364718561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010364718561 is the 1005169-th square number.

1010364718561 is the 502585-th centered octagonal number.

It is an amenable number.

1010364718561 is a deficient number, since it is larger than the sum of its proper divisors (200839992792).

1010364718561 is an equidigital number, since it uses as much as digits as its factorization.

1010364718561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 1010364718561 in words is "one trillion, ten billion, three hundred sixty-four million, seven hundred eighteen thousand, five hundred sixty-one".