1039365977049 has 63 divisors (see below), whose sum is σ = 1586864970639. Its totient is φ = 680450407920.

The previous prime is 1039365977021. The next prime is 1039365977059. The reversal of 1039365977049 is 9407795639301.

The square root of 1039365977049 is 1019493.

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

1039365977049 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 36 + 597 + 7 + 0 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33798248649 + 1005567728400 = 183843^2 + 1002780^2 .

It is not a de Polignac number, because 1039365977049 - 2²⁵ = 1039332422617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1039365977059) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1679104662 + ... + 1679105280.

Almost surely, 2^{1039365977049} is an apocalyptic number.

1039365977049 is the 1019493-rd square number.

1039365977049 is the 509747-th centered octagonal number.

It is an amenable number.

1039365977049 is a deficient number, since it is larger than the sum of its proper divisors (547498993590).

1039365977049 is an frugal number, since it uses more digits than its factorization.

1039365977049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 63.

The spelling of 1039365977049 in words is "one trillion, thirty-nine billion, three hundred sixty-five million, nine hundred seventy-seven thousand, forty-nine".