1058201005290 has 192 divisors, whose sum is σ = 3081165858432. Its totient is φ = 230399769600.

The previous prime is 1058201005271. The next prime is 1058201005319. The reversal of 1058201005290 is 925001028501.

It is a super-2 number, since 2×1058201005290² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1807080 + ... + 2319900.

It is an arithmetic number, because the mean of its divisors is an integer number (16047738846).

Almost surely, 2^{1058201005290} is an apocalyptic number.

1058201005290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1058201005290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540582929216).

1058201005290 is an abundant number, since it is smaller than the sum of its proper divisors (2022964853142).

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

1058201005290 is a wasteful number, since it uses less digits than its factorization.

1058201005290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512905 (or 512892 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 1058201005290 in words is "one trillion, fifty-eight billion, two hundred one million, five thousand, two hundred ninety".