201305587825 has 12 divisors (see below), whose sum is σ = 250590216780. Its totient is φ = 160417832960.

The previous prime is 201305587817. The next prime is 201305587843. The reversal of 201305587825 is 528785503102.

It can be written as a sum of positive squares in 6 ways, for example, as 6251748624 + 195053839201 = 79068^2 + 441649^2 .

It is not a de Polignac number, because 201305587825 - 2³ = 201305587817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15659380 + ... + 15672229.

It is an arithmetic number, because the mean of its divisors is an integer number (20882518065).

Almost surely, 2^201305587825 is an apocalyptic number.

201305587825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201305587825 is a deficient number, since it is larger than the sum of its proper divisors (49284628955).

201305587825 is a wasteful number, since it uses less digits than its factorization.

201305587825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31331876 (or 31331871 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 201305587825 in words is "two hundred one billion, three hundred five million, five hundred eighty-seven thousand, eight hundred twenty-five".