3528953859601 has 9 divisors (see below), whose sum is σ = 3748784218491. Its totient is φ = 3321338281632.

The previous prime is 3528953859583. The next prime is 3528953859619. The reversal of 3528953859601 is 1069583598253.

The square root of 3528953859601 is 1878551.

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

It is an interprime number because it is at equal distance from previous prime (3528953859583) and next prime (3528953859619).

It can be written as a sum of positive squares in only one way, i.e., 2747455427025 + 781498432576 = 1657545^2 + 884024^2 .

It is not a de Polignac number, because 3528953859601 - 2¹⁷ = 3528953728529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3528953859671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31880116 + ... + 31990618.

Almost surely, 2^{3528953859601} is an apocalyptic number.

3528953859601 is the 1878551-st square number.

3528953859601 is the 939276-th centered octagonal number.

It is an amenable number.

3528953859601 is a deficient number, since it is larger than the sum of its proper divisors (219830358890).

3528953859601 is an frugal number, since it uses more digits than its factorization.

3528953859601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221040 (or 110520 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 64.

Multiplying 3528953859601 by its sum of digits (64), we get a square (225853047014464 = 15028408²).

The spelling of 3528953859601 in words is "three trillion, five hundred twenty-eight billion, nine hundred fifty-three million, eight hundred fifty-nine thousand, six hundred one".