201431414125 has 64 divisors (see below), whose sum is σ = 268865625600. Its totient is φ = 150232320000.

The previous prime is 201431414123. The next prime is 201431414207. The reversal of 201431414125 is 521414134102.

It is a happy number.

It is not a de Polignac number, because 201431414125 - 2¹ = 201431414123 is a prime.

It is a super-2 number, since 2×201431414125² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201431414093 and 201431414102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201431414123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39087549 + ... + 39092701.

It is an arithmetic number, because the mean of its divisors is an integer number (4201025400).

Almost surely, 2^201431414125 is an apocalyptic number.

201431414125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201431414125 is a deficient number, since it is larger than the sum of its proper divisors (67434211475).

201431414125 is a wasteful number, since it uses less digits than its factorization.

201431414125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 201431414125 its reverse (521414134102), we get a palindrome (722845548227).

The spelling of 201431414125 in words is "two hundred one billion, four hundred thirty-one million, four hundred fourteen thousand, one hundred twenty-five".