248583013561 has 9 divisors (see below), whose sum is σ = 251655967461. Its totient is φ = 245547153852.

The previous prime is 248583013531. The next prime is 248583013589. The reversal of 248583013561 is 165310385842.

The square root of 248583013561 is 498581.

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

It is not a de Polignac number, because 248583013561 - 2⁵ = 248583013529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248583013531) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41379220 + ... + 41385226.

Almost surely, 2^248583013561 is an apocalyptic number.

248583013561 is the 498581-st square number.

248583013561 is the 249291-st centered octagonal number.

It is an amenable number.

248583013561 is a deficient number, since it is larger than the sum of its proper divisors (3072953900).

248583013561 is an frugal number, since it uses more digits than its factorization.

248583013561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12180 (or 6090 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 248583013561 in words is "two hundred forty-eight billion, five hundred eighty-three million, thirteen thousand, five hundred sixty-one".