1010388842761 has 9 divisors (see below), whose sum is σ = 1013228381581. Its totient is φ = 1007557247884.

The previous prime is 1010388842711. The next prime is 1010388842779. The reversal of 1010388842761 is 1672488830101.

The square root of 1010388842761 is 1005181.

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

It is not a de Polignac number, because 1010388842761 - 2¹⁵ = 1010388809993 is a prime.

It is a super-2 number, since 2×1010388842761² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010388842711) 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, 421169640 + ... + 421172038.

Almost surely, 2^{1010388842761} is an apocalyptic number.

1010388842761 is the 1005181-st square number.

1010388842761 is the 502591-st centered octagonal number.

It is an amenable number.

1010388842761 is a deficient number, since it is larger than the sum of its proper divisors (2839538820).

1010388842761 is an frugal number, since it uses more digits than its factorization.

1010388842761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

Multiplying 1010388842761 by its sum of digits (49), we get a square (49509053295289 = 7036267²).

The spelling of 1010388842761 in words is "one trillion, ten billion, three hundred eighty-eight million, eight hundred forty-two thousand, seven hundred sixty-one".