6265009000000 has 147 divisors (see below), whose sum is σ = 15546171143181. Its totient is φ = 2505002400000.

The previous prime is 6265008999983. The next prime is 6265009000007. The reversal of 6265009000000 is 9005626.

The square root of 6265009000000 is 2503000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 5488749324864 + 776259675136 = 2342808^2 + 881056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6265009000007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2502998749 + ... + 2503001251.

Almost surely, 2^{6265009000000} is an apocalyptic number.

6265009000000 is the 2503000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6265009000000

6265009000000 is an abundant number, since it is smaller than the sum of its proper divisors (9281162143181).

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

6265009000000 is an frugal number, since it uses more digits than its factorization.

6265009000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The spelling of 6265009000000 in words is "six trillion, two hundred sixty-five billion, nine million", and thus it is an aban number.