2562724300253 has 16 divisors (see below), whose sum is σ = 2855139159600. Its totient is φ = 2283927744000.

The previous prime is 2562724300211. The next prime is 2562724300277. The reversal of 2562724300253 is 3520034272652.

2562724300253 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1210743714244 + 1351980586009 = 1100338^2 + 1162747^2 .

It is a cyclic number.

It is not a de Polignac number, because 2562724300253 - 2²² = 2562720105949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2562724300253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2562724300553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10316003 + ... + 10561503.

It is an arithmetic number, because the mean of its divisors is an integer number (178446197475).

Almost surely, 2^{2562724300253} is an apocalyptic number.

It is an amenable number.

2562724300253 is a deficient number, since it is larger than the sum of its proper divisors (292414859347).

2562724300253 is a wasteful number, since it uses less digits than its factorization.

2562724300253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273232.

The product of its (nonzero) digits is 604800, while the sum is 41.

The spelling of 2562724300253 in words is "two trillion, five hundred sixty-two billion, seven hundred twenty-four million, three hundred thousand, two hundred fifty-three".