201365125 has 32 divisors (see below), whose sum is σ = 280032480. Its totient is φ = 143539200.

The previous prime is 201365123. The next prime is 201365189. The reversal of 201365125 is 521563102.

It can be written as a sum of positive squares in 16 ways, for example, as 186978276 + 14386849 = 13674^2 + 3793^2 .

It is not a de Polignac number, because 201365125 - 2¹ = 201365123 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201365125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201365123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44989 + ... + 49261.

It is an arithmetic number, because the mean of its divisors is an integer number (8751015).

Almost surely, 2^201365125 is an apocalyptic number.

201365125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201365125 is a deficient number, since it is larger than the sum of its proper divisors (78667355).

201365125 is a wasteful number, since it uses less digits than its factorization.

201365125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 201365125 is about 14190.3180020745. The cubic root of 201365125 is about 586.1310816968.

The spelling of 201365125 in words is "two hundred one million, three hundred sixty-five thousand, one hundred twenty-five".