2565130321020 has 96 divisors (see below), whose sum is σ = 7253037066240. Its totient is φ = 677333030400.

The previous prime is 2565130320971. The next prime is 2565130321027. The reversal of 2565130321020 is 201230315652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565130321027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2383501 + ... + 3288059.

It is an arithmetic number, because the mean of its divisors is an integer number (75552469440).

Almost surely, 2^{2565130321020} is an apocalyptic number.

2565130321020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565130321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626518533120).

2565130321020 is an abundant number, since it is smaller than the sum of its proper divisors (4687906745220).

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

2565130321020 is a wasteful number, since it uses less digits than its factorization.

2565130321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905035 (or 905033 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 2565130321020 its reverse (201230315652), we get a palindrome (2766360636672).

The spelling of 2565130321020 in words is "two trillion, five hundred sixty-five billion, one hundred thirty million, three hundred twenty-one thousand, twenty".