3059001000000 has 1323 divisors, whose sum is σ = 12278478165499. Its totient is φ = 727584000000.

The previous prime is 3059000999909. The next prime is 3059001000001. The reversal of 3059001000000 is 1009503.

The square root of 3059001000000 is 1749000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 2941938483264 + 117062516736 = 1715208^2 + 342144^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3059001000001) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 57716999974 + ... + 57717000026.

Almost surely, 2^{3059001000000} is an apocalyptic number.

3059001000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3059001000000 is the 1749000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3059001000000

3059001000000 is an abundant number, since it is smaller than the sum of its proper divisors (9219477165499).

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

3059001000000 is an frugal number, since it uses more digits than its factorization.

3059001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 3059001000000 its reverse (1009503), we get a palindrome (3059002009503).

The spelling of 3059001000000 in words is "three trillion, fifty-nine billion, one million", and thus it is an aban number and an uban number.