125522821264 has 45 divisors (see below), whose sum is σ = 254300170579. Its totient is φ = 60017064800.

The previous prime is 125522821247. The next prime is 125522821313. The reversal of 125522821264 is 462128225521.

It is a happy number.

The square root of 125522821264 is 354292.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32592939 + ... + 32596789.

Almost surely, 2^125522821264 is an apocalyptic number.

125522821264 is the 354292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125522821264

125522821264 is an abundant number, since it is smaller than the sum of its proper divisors (128777349315).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125522821264 is an frugal number, since it uses more digits than its factorization.

125522821264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756 (or 3876 counting only the distinct ones).

The product of its digits is 153600, while the sum is 40.

The spelling of 125522821264 in words is "one hundred twenty-five billion, five hundred twenty-two million, eight hundred twenty-one thousand, two hundred sixty-four".