2565205212570 has 512 divisors, whose sum is σ = 8670270357504. Its totient is φ = 468534067200.

The previous prime is 2565205212547. The next prime is 2565205212571. The reversal of 2565205212570 is 752125025652.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2565205212571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52197610 + ... + 52246730.

It is an arithmetic number, because the mean of its divisors is an integer number (16934121792).

Almost surely, 2^{2565205212570} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565205212570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335135178752).

2565205212570 is an abundant number, since it is smaller than the sum of its proper divisors (6105065144934).

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

2565205212570 is a wasteful number, since it uses less digits than its factorization.

2565205212570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49246.

The product of its (nonzero) digits is 420000, while the sum is 42.

The spelling of 2565205212570 in words is "two trillion, five hundred sixty-five billion, two hundred five million, two hundred twelve thousand, five hundred seventy".