1032993747769 has 27 divisors (see below), whose sum is σ = 1083662812141. Its totient is φ = 984652474400.

The previous prime is 1032993747707. The next prime is 1032993747781. The reversal of 1032993747769 is 9677473992301.

The square root of 1032993747769 is 1016363.

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

1032993747769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 339437907769 + 693555840000 = 582613^2 + 832800^2 .

It is not a de Polignac number, because 1032993747769 - 2³¹ = 1030846264121 is a prime.

It is a super-2 number, since 2×1032993747769² (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 (1032993747169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2976927054 + ... + 2976927400.

Almost surely, 2^{1032993747769} is an apocalyptic number.

1032993747769 is the 1016363-rd square number.

1032993747769 is the 508182-nd centered octagonal number.

It is an amenable number.

1032993747769 is a deficient number, since it is larger than the sum of its proper divisors (50669064372).

1032993747769 is an frugal number, since it uses more digits than its factorization.

1032993747769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 108020304, while the sum is 67.

The spelling of 1032993747769 in words is "one trillion, thirty-two billion, nine hundred ninety-three million, seven hundred forty-seven thousand, seven hundred sixty-nine".