10506455001 has 45 divisors (see below), whose sum is σ = 18268477029. Its totient is φ = 5999998536.

The previous prime is 10506454999. The next prime is 10506455017. The reversal of 10506455001 is 10055460501.

It is a happy number.

The square root of 10506455001 is 102501.

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

10506455001 is a `hidden beast` number, since 1 + 0 + 50 + 64 + 550 + 0 + 1 = 666.

It is not a de Polignac number, because 10506455001 - 2¹ = 10506454999 is a prime.

It is a super-2 number, since 2×10506455001² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10506455051) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6456750 + ... + 6458376.

Almost surely, 2^10506455001 is an apocalyptic number.

10506455001 is the 102501-st square number.

10506455001 is the 51251-st centered octagonal number.

It is an amenable number.

10506455001 is a deficient number, since it is larger than the sum of its proper divisors (7762022028).

10506455001 is an frugal number, since it uses more digits than its factorization.

10506455001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 10506455001 in words is "ten billion, five hundred six million, four hundred fifty-five thousand, one".