2575765504 has 117 divisors (see below), whose sum is σ = 5670539199. Its totient is φ = 1169326080.

The previous prime is 2575765501. The next prime is 2575765513. The reversal of 2575765504 is 4055675752.

The square root of 2575765504 is 50752.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1811353600 + 764411904 = 42560^2 + 27648^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2575765501) 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, 42225634 + ... + 42225694.

It is an arithmetic number, because the mean of its divisors is an integer number (48466147).

Almost surely, 2^2575765504 is an apocalyptic number.

2575765504 is the 50752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2575765504

2575765504 is an abundant number, since it is smaller than the sum of its proper divisors (3094773695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2575765504 is an frugal number, since it uses more digits than its factorization.

2575765504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 46.

The cubic root of 2575765504 is about 1370.7832032279.

The spelling of 2575765504 in words is "two billion, five hundred seventy-five million, seven hundred sixty-five thousand, five hundred four".