1205056749 has 16 divisors (see below), whose sum is σ = 1790006400. Its totient is φ = 716001216.

The previous prime is 1205056711. The next prime is 1205056763. The reversal of 1205056749 is 9476505021.

It is not a de Polignac number, because 1205056749 - 2⁷ = 1205056621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205056799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531609 + ... + 533870.

It is an arithmetic number, because the mean of its divisors is an integer number (111875400).

Almost surely, 2^1205056749 is an apocalyptic number.

It is an amenable number.

1205056749 is a deficient number, since it is larger than the sum of its proper divisors (584949651).

1205056749 is a wasteful number, since it uses less digits than its factorization.

1205056749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065524.

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 1205056749 is about 34713.9273059099. The cubic root of 1205056749 is about 1064.1491434162.

The spelling of 1205056749 in words is "one billion, two hundred five million, fifty-six thousand, seven hundred forty-nine".