82354650625 has 45 divisors (see below), whose sum is σ = 111561834879. Its totient is φ = 60746868000.

The previous prime is 82354650559. The next prime is 82354650667. The reversal of 82354650625 is 52605645328.

The square root of 82354650625 is 286975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 81344173681 + 1010476944 = 285209^2 + 31788^2 .

It is not a de Polignac number, because 82354650625 - 2⁹ = 82354650113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 93266434 + ... + 93267316.

Almost surely, 2^82354650625 is an apocalyptic number.

82354650625 is the 286975-th square number.

82354650625 is the 143488-th centered octagonal number.

It is an amenable number.

82354650625 is a deficient number, since it is larger than the sum of its proper divisors (29207184254).

82354650625 is an frugal number, since it uses more digits than its factorization.

82354650625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 82354650625 in words is "eighty-two billion, three hundred fifty-four million, six hundred fifty thousand, six hundred twenty-five".