501375105 has 96 divisors (see below), whose sum is σ = 1105977600. Its totient is φ = 208293120.

The previous prime is 501375103. The next prime is 501375109. The reversal of 501375105 is 501573105.

It is not a de Polignac number, because 501375105 - 2¹ = 501375103 is a prime.

It is a super-2 number, since 2×501375105² = 502753991827522050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (501375103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168309 + ... + 171261.

It is an arithmetic number, because the mean of its divisors is an integer number (11520600).

Almost surely, 2^501375105 is an apocalyptic number.

501375105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

501375105 is an abundant number, since it is smaller than the sum of its proper divisors (604602495).

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

501375105 is a wasteful number, since it uses less digits than its factorization.

501375105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 501375105 is about 22391.4069455227. The cubic root of 501375105 is about 794.4274743451.

The spelling of 501375105 in words is "five hundred one million, three hundred seventy-five thousand, one hundred five".