2565515323500 has 192 divisors, whose sum is σ = 7942689570816. Its totient is φ = 642044832000.

The previous prime is 2565515323487. The next prime is 2565515323507. The reversal of 2565515323500 is 53235155652.

It is a happy number.

It is a super-2 number, since 2×2565515323500² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2565515323507) 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 63 ways as a sum of consecutive naturals, for example, 1126965 + ... + 2530035.

It is an arithmetic number, because the mean of its divisors is an integer number (41368174848).

Almost surely, 2^{2565515323500} is an apocalyptic number.

2565515323500 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 2565515323500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971344785408).

2565515323500 is an abundant number, since it is smaller than the sum of its proper divisors (5377174247316).

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

2565515323500 is a wasteful number, since it uses less digits than its factorization.

2565515323500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403169 (or 1403157 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 42.

The spelling of 2565515323500 in words is "two trillion, five hundred sixty-five billion, five hundred fifteen million, three hundred twenty-three thousand, five hundred".