753804231961 has 9 divisors (see below), whose sum is σ = 828572174143. Its totient is φ = 685267892320.

The previous prime is 753804231899. The next prime is 753804231977. The reversal of 753804231961 is 169132408357.

The square root of 753804231961 is 868219.

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

753804231961 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 only one way, i.e., 733731009561 + 20073222400 = 856581^2 + 141680^2 .

It is not a de Polignac number, because 753804231961 - 2²⁵ = 753770677529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (753844231961) 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, 9510945 + ... + 9589873.

It is a 2-persistent number, because it is pandigital, and so is 2⋅753804231961 = 1507608463922, but 3⋅753804231961 = 2261412695883 is not.

Almost surely, 2^753804231961 is an apocalyptic number.

753804231961 is the 868219-th square number.

753804231961 is the 434110-th centered octagonal number.

It is an amenable number.

753804231961 is a deficient number, since it is larger than the sum of its proper divisors (74767942182).

753804231961 is an frugal number, since it uses more digits than its factorization.

753804231961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157880 (or 78940 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 753804231961 by its sum of digits (49), we get a square (36936407366089 = 6077533²).

The spelling of 753804231961 in words is "seven hundred fifty-three billion, eight hundred four million, two hundred thirty-one thousand, nine hundred sixty-one".