2493515753569 has 9 divisors (see below), whose sum is σ = 2497702611411. Its totient is φ = 2489335910280.

The previous prime is 2493515753551. The next prime is 2493515753587. The reversal of 2493515753569 is 9653575153942.

It is a happy number.

The square root of 2493515753569 is 1579087.

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 (2493515753551) and next prime (2493515753587).

It can be written as a sum of positive squares in only one way, i.e., 2863641169 + 2490652112400 = 53513^2 + 1578180^2 .

It is not a de Polignac number, because 2493515753569 - 2¹³ = 2493515745377 is a prime.

It is a super-2 number, since 2×2493515753569² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2493515753569.

It is not an unprimeable number, because it can be changed into a prime (2493515753669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1432231039 + ... + 1432232779.

It is an arithmetic number, because the mean of its divisors is an integer number (277522512379).

Almost surely, 2^{2493515753569} is an apocalyptic number.

2493515753569 is the 1579087-th square number.

2493515753569 is the 789544-th centered octagonal number.

It is an amenable number.

2493515753569 is a deficient number, since it is larger than the sum of its proper divisors (4186857842).

2493515753569 is an frugal number, since it uses more digits than its factorization.

2493515753569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296 (or 2648 counting only the distinct ones).

The product of its digits is 153090000, while the sum is 64.

Multiplying 2493515753569 by its sum of digits (64), we get a square (159585008228416 = 12632696²).

The spelling of 2493515753569 in words is "two trillion, four hundred ninety-three billion, five hundred fifteen million, seven hundred fifty-three thousand, five hundred sixty-nine".