505240542510 has 128 divisors (see below), whose sum is σ = 1327447180800. Its totient is φ = 122054123520.

The previous prime is 505240542497. The next prime is 505240542523. The reversal of 505240542510 is 15245042505.

It is an interprime number because it is at equal distance from previous prime (505240542497) and next prime (505240542523).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143166426 + ... + 143169954.

It is an arithmetic number, because the mean of its divisors is an integer number (10370681100).

Almost surely, 2^505240542510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505240542510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663723590400).

505240542510 is an abundant number, since it is smaller than the sum of its proper divisors (822206638290).

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

505240542510 is a wasteful number, since it uses less digits than its factorization.

505240542510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946.

The product of its (nonzero) digits is 40000, while the sum is 33.

The spelling of 505240542510 in words is "five hundred five billion, two hundred forty million, five hundred forty-two thousand, five hundred ten".