4201512345 has 72 divisors (see below), whose sum is σ = 7771434840. Its totient is φ = 2099404800.

The previous prime is 4201512331. The next prime is 4201512347. The reversal of 4201512345 is 5432151024.

4201512345 is a `hidden beast` number, since 420 + 1 + 5 + 1 + 234 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2176782336 + 2024730009 = 46656^2 + 44997^2 .

It is not a de Polignac number, because 4201512345 - 2¹¹ = 4201510297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4201512347) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3497745 + ... + 3498945.

It is an arithmetic number, because the mean of its divisors is an integer number (107936595).

Almost surely, 2^4201512345 is an apocalyptic number.

4201512345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4201512345 is a deficient number, since it is larger than the sum of its proper divisors (3569922495).

4201512345 is a wasteful number, since it uses less digits than its factorization.

4201512345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4201512345 is about 64819.0739288984. The cubic root of 4201512345 is about 1613.6222784000.

Adding to 4201512345 its reverse (5432151024), we get a palindrome (9633663369).

The spelling of 4201512345 in words is "four billion, two hundred one million, five hundred twelve thousand, three hundred forty-five".