350382308761 has 9 divisors (see below), whose sum is σ = 352322042751. Its totient is φ = 348453205632.

The previous prime is 350382308753. The next prime is 350382308777. The reversal of 350382308761 is 167803283053.

The square root of 350382308761 is 591931.

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

It can be written as a sum of positive squares in only one way, i.e., 84893563225 + 265488745536 = 291365^2 + 515256^2 .

It is not a de Polignac number, because 350382308761 - 2³ = 350382308753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (350382308161) 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, 114241150 + ... + 114244216.

It is an arithmetic number, because the mean of its divisors is an integer number (39146893639).

Almost surely, 2^350382308761 is an apocalyptic number.

350382308761 is the 591931-st square number.

350382308761 is the 295966-th centered octagonal number.

It is an amenable number.

350382308761 is a deficient number, since it is larger than the sum of its proper divisors (1939733990).

350382308761 is an frugal number, since it uses more digits than its factorization.

350382308761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 350382308761 in words is "three hundred fifty billion, three hundred eighty-two million, three hundred eight thousand, seven hundred sixty-one".