48083892405025 has 81 divisors (see below), whose sum is σ = 61539236605483. Its totient is φ = 37269679033600.

The previous prime is 48083892404983. The next prime is 48083892405037. The reversal of 48083892405025 is 52050429838084.

The square root of 48083892405025 is 6934255.

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

It can be written as a sum of positive squares in 13 ways, for example, as 15808949746209 + 32274942658816 = 3976047^2 + 5681104^2 .

It is not a de Polignac number, because 48083892405025 - 2⁷ = 48083892404897 is a prime.

It is a super-3 number, since 3×48083892405025³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 251748127680 + ... + 251748127870.

Almost surely, 2^{48083892405025} is an apocalyptic number.

48083892405025 is the 6934255-th square number.

48083892405025 is the 3467128-th centered octagonal number.

It is an amenable number.

48083892405025 is a deficient number, since it is larger than the sum of its proper divisors (13455344200458).

48083892405025 is an frugal number, since it uses more digits than its factorization.

48083892405025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 58.

The spelling of 48083892405025 in words is "forty-eight trillion, eighty-three billion, eight hundred ninety-two million, four hundred five thousand, twenty-five".