248122413 has 64 divisors (see below), whose sum is σ = 478310400. Its totient is φ = 123266880.

The previous prime is 248122409. The next prime is 248122417. The reversal of 248122413 is 314221842.

248122413 is a `hidden beast` number, since 248 + 1 + 2 + 2 + 413 = 666.

It is an interprime number because it is at equal distance from previous prime (248122409) and next prime (248122417).

It is not a de Polignac number, because 248122413 - 2² = 248122409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248122417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45223 + ... + 50411.

It is an arithmetic number, because the mean of its divisors is an integer number (7473600).

Almost surely, 2^248122413 is an apocalyptic number.

248122413 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

248122413 is a deficient number, since it is larger than the sum of its proper divisors (230187987).

248122413 is a wasteful number, since it uses less digits than its factorization.

248122413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5233 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 248122413 is about 15751.9018851693. The cubic root of 248122413 is about 628.3794860096.

It can be divided in two parts, 24812 and 2413, that added together give a square (27225 = 165²).

The spelling of 248122413 in words is "two hundred forty-eight million, one hundred twenty-two thousand, four hundred thirteen".