48810553467025 has 81 divisors (see below), whose sum is σ = 70723122414003. Its totient is φ = 33320360102400.

The previous prime is 48810553466981. The next prime is 48810553467031. The reversal of 48810553467025 is 52076435501884.

The square root of 48810553467025 is 6986455.

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 48798034542481 + 12518924544 = 6985559^2 + 111888^2 .

It is not a de Polignac number, because 48810553467025 - 2⁷ = 48810553466897 is a prime.

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, 105879725295 + ... + 105879725755.

Almost surely, 2^{48810553467025} is an apocalyptic number.

48810553467025 is the 6986455-th square number.

48810553467025 is the 3493228-th centered octagonal number.

It is an amenable number.

48810553467025 is a deficient number, since it is larger than the sum of its proper divisors (21912568946978).

48810553467025 is an frugal number, since it uses more digits than its factorization.

48810553467025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 58.

The spelling of 48810553467025 in words is "forty-eight trillion, eight hundred ten billion, five hundred fifty-three million, four hundred sixty-seven thousand, twenty-five".