192528765961 has 9 divisors (see below), whose sum is σ = 223965606861. Its totient is φ = 165022023852.

The previous prime is 192528765853. The next prime is 192528765991. The reversal of 192528765961 is 169567825291.

The square root of 192528765961 is 438781.

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

192528765961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 192528765961 - 2¹⁵ = 192528733193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 192528765961.

It is not an unprimeable number, because it can be changed into a prime (192528765991) 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 8 ways as a sum of consecutive naturals, for example, 3040126 + ... + 3102808.

It is an arithmetic number, because the mean of its divisors is an integer number (24885067429).

Almost surely, 2^192528765961 is an apocalyptic number.

192528765961 is the 438781-st square number.

192528765961 is the 219391-st centered octagonal number.

It is an amenable number.

192528765961 is a deficient number, since it is larger than the sum of its proper divisors (31436840900).

192528765961 is an frugal number, since it uses more digits than its factorization.

192528765961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125380 (or 62690 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 61.

The spelling of 192528765961 in words is "one hundred ninety-two billion, five hundred twenty-eight million, seven hundred sixty-five thousand, nine hundred sixty-one".