248753505 has 64 divisors (see below), whose sum is σ = 534417408. Its totient is φ = 95420160.

The previous prime is 248753501. The next prime is 248753509. The reversal of 248753505 is 505357842.

It is an interprime number because it is at equal distance from previous prime (248753501) and next prime (248753509).

It is not a de Polignac number, because 248753505 - 2² = 248753501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (248753501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6732 + ... + 23298.

It is an arithmetic number, because the mean of its divisors is an integer number (8350272).

Almost surely, 2^248753505 is an apocalyptic number.

It is an amenable number.

248753505 is an abundant number, since it is smaller than the sum of its proper divisors (285663903).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248753505 is a wasteful number, since it uses less digits than its factorization.

248753505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16606.

The product of its (nonzero) digits is 168000, while the sum is 39.

The square root of 248753505 is about 15771.9214111661. The cubic root of 248753505 is about 628.9117898279.

The spelling of 248753505 in words is "two hundred forty-eight million, seven hundred fifty-three thousand, five hundred five".