48010251097249 has 21 divisors (see below), whose sum is σ = 56014664465971. Its totient is φ = 41149606688400.

The previous prime is 48010251097243. The next prime is 48010251097343. The reversal of 48010251097249 is 94279015201084.

The square root of 48010251097249 is 6928943.

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

It can be written as a sum of positive squares in only one way, i.e., 4753137249 + 48005497960000 = 68943^2 + 6928600^2 .

It is not a de Polignac number, because 48010251097249 - 2³ = 48010251097241 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48010251097196 and 48010251097205.

It is not an unprimeable number, because it can be changed into a prime (48010251097241) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2376617349 + ... + 2376637549.

Almost surely, 2^{48010251097249} is an apocalyptic number.

48010251097249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

48010251097249 is the 6928943-rd square number.

48010251097249 is the 3464472-nd centered octagonal number.

It is an amenable number.

48010251097249 is a deficient number, since it is larger than the sum of its proper divisors (8004413368722).

48010251097249 is an frugal number, since it uses more digits than its factorization.

48010251097249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40444 (or 20208 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 48010251097249 in words is "forty-eight trillion, ten billion, two hundred fifty-one million, ninety-seven thousand, two hundred forty-nine".