1058431497601 has 9 divisors (see below), whose sum is σ = 1061184499041. Its totient is φ = 1055685627732.

The previous prime is 1058431497587. The next prime is 1058431497619. The reversal of 1058431497601 is 1067941348501.

The square root of 1058431497601 is 1028801.

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

It is a de Polignac number, because none of the positive numbers 2^k-1058431497601 is a prime.

It is a super-2 number, since 2×1058431497601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1058431497301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 480448966 + ... + 480451168.

Almost surely, 2^{1058431497601} is an apocalyptic number.

1058431497601 is the 1028801-st square number.

1058431497601 is the 514401-st centered octagonal number.

It is an amenable number.

1058431497601 is a deficient number, since it is larger than the sum of its proper divisors (2753001440).

1058431497601 is an frugal number, since it uses more digits than its factorization.

1058431497601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 1058431497601 by its sum of digits (49), we get a square (51863143382449 = 7201607²).

The spelling of 1058431497601 in words is "one trillion, fifty-eight billion, four hundred thirty-one million, four hundred ninety-seven thousand, six hundred one".