4285142521 has 15 divisors (see below), whose sum is σ = 4722356415. Its totient is φ = 3888383400.

The previous prime is 4285142501. The next prime is 4285142539. The reversal of 4285142521 is 1252415824.

The square root of 4285142521 is 65461.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1702470121 + 2582672400 = 41261^2 + 50820^2 .

It is not a de Polignac number, because 4285142521 - 2¹¹ = 4285140473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4285142501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7920511 + ... + 7921051.

It is an arithmetic number, because the mean of its divisors is an integer number (314823761).

Almost surely, 2^4285142521 is an apocalyptic number.

4285142521 is the 65461-st square number.

4285142521 is the 32731-st centered octagonal number.

It is an amenable number.

4285142521 is a deficient number, since it is larger than the sum of its proper divisors (437213894).

4285142521 is an frugal number, since it uses more digits than its factorization.

4285142521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 552 counting only the distinct ones).

The product of its digits is 25600, while the sum is 34.

The cubic root of 4285142521 is about 1624.2582834820.

Multiplying 4285142521 by its product of digits (25600), we get a square (109699648537600 = 10473760²).

The spelling of 4285142521 in words is "four billion, two hundred eighty-five million, one hundred forty-two thousand, five hundred twenty-one".