2005201375 has 32 divisors (see below), whose sum is σ = 2597474880. Its totient is φ = 1543651200.

The previous prime is 2005201313. The next prime is 2005201409. The reversal of 2005201375 is 5731025002.

It is not a de Polignac number, because 2005201375 - 2⁹ = 2005200863 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351384 + ... + 1352866.

It is an arithmetic number, because the mean of its divisors is an integer number (81171090).

Almost surely, 2^2005201375 is an apocalyptic number.

2005201375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2005201375 is a deficient number, since it is larger than the sum of its proper divisors (592273505).

2005201375 is a wasteful number, since it uses less digits than its factorization.

2005201375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 2005201375 is about 44779.4749299274. The cubic root of 2005201375 is about 1261.0123247278.

Adding to 2005201375 its reverse (5731025002), we get a palindrome (7736226377).

The spelling of 2005201375 in words is "two billion, five million, two hundred one thousand, three hundred seventy-five".