765049358241 has 27 divisors (see below), whose sum is σ = 1285521962673. Its totient is φ = 437160565800.

The previous prime is 765049358173. The next prime is 765049358257. The reversal of 765049358241 is 142853940567.

It is a happy number.

The square root of 765049358241 is 874671.

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

765049358241 is a `hidden beast` number, since 7 + 6 + 5 + 0 + 49 + 358 + 241 = 666.

It is not a de Polignac number, because 765049358241 - 2⁹ = 765049357729 is a prime.

It is a super-2 number, since 2×765049358241² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (765049354241) 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 26 ways as a sum of consecutive naturals, for example, 18347266 + ... + 18388916.

It is a 2-persistent number, because it is pandigital, and so is 2⋅765049358241 = 1530098716482, but 3⋅765049358241 = 2295148074723 is not.

Almost surely, 2^765049358241 is an apocalyptic number.

765049358241 is the 874671-st square number.

765049358241 is the 437336-th centered octagonal number.

It is an amenable number.

765049358241 is a deficient number, since it is larger than the sum of its proper divisors (520472604432).

765049358241 is an frugal number, since it uses more digits than its factorization.

765049358241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83322 (or 41661 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 765049358241 in words is "seven hundred sixty-five billion, forty-nine million, three hundred fifty-eight thousand, two hundred forty-one".