248535507006313 has 16 divisors (see below), whose sum is σ = 261936700128000. Its totient is φ = 235166517056592.

The previous prime is 248535507006229. The next prime is 248535507006343. The reversal of 248535507006313 is 313600705535842.

It is a cyclic number.

It is not a de Polignac number, because 248535507006313 - 2³³ = 248526917071721 is a prime.

It is a super-2 number, since 2×248535507006313² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248535507006343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51814578 + ... + 56407636.

It is an arithmetic number, because the mean of its divisors is an integer number (16371043758000).

Almost surely, 2^{248535507006313} is an apocalyptic number.

It is an amenable number.

248535507006313 is a deficient number, since it is larger than the sum of its proper divisors (13401193121687).

248535507006313 is a wasteful number, since it uses less digits than its factorization.

248535507006313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596564.

The product of its (nonzero) digits is 9072000, while the sum is 52.

The spelling of 248535507006313 in words is "two hundred forty-eight trillion, five hundred thirty-five billion, five hundred seven million, six thousand, three hundred thirteen".