1010667681 has 9 divisors (see below), whose sum is σ = 1459991091. Its totient is φ = 673714872.

The previous prime is 1010667659. The next prime is 1010667683. The reversal of 1010667681 is 1867660101.

The square root of 1010667681 is 31791.

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

It can be written as a sum of positive squares in only one way, i.e., 31979025 + 978688656 = 5655^2 + 31284^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1010667681 - 2⁹ = 1010667169 is a prime.

It is a super-2 number, since 2×1010667681² = 2042898322835835522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010667683) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90075 + ... + 100671.

Almost surely, 2^1010667681 is an apocalyptic number.

1010667681 is the 31791-st square number.

1010667681 is the 15896-th centered octagonal number.

It is an amenable number.

1010667681 is a deficient number, since it is larger than the sum of its proper divisors (449323410).

1010667681 is an frugal number, since it uses more digits than its factorization.

1010667681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21200 (or 10600 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 1010667681 is about 1003.5433236949.

Multiplying 1010667681 by its sum of digits (36), we get a square (36384036516 = 190746²).

The spelling of 1010667681 in words is "one billion, ten million, six hundred sixty-seven thousand, six hundred eighty-one".