10458085401 has 6 divisors (see below), whose sum is σ = 15106123370. Its totient is φ = 6972056928.

The previous prime is 10458085387. The next prime is 10458085411.

10458085401 is a `hidden beast` number, since 104 + 5 + 8 + 0 + 8 + 540 + 1 = 666.

10458085401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 9250592400 + 1207493001 = 96180^2 + 34749^2 .

It is not a de Polignac number, because 10458085401 - 2⁵ = 10458085369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10458085411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 581004736 + ... + 581004753.

Almost surely, 2^10458085401 is an apocalyptic number.

It is an amenable number.

10458085401 is a deficient number, since it is larger than the sum of its proper divisors (4648037969).

10458085401 is a wasteful number, since it uses less digits than its factorization.

10458085401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162009495 (or 1162009492 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

It can be divided in two parts, 104580 and 85401, that added together give a palindrome (189981).

The spelling of 10458085401 in words is "ten billion, four hundred fifty-eight million, eighty-five thousand, four hundred one".