9900051001 has 27 divisors (see below), whose sum is σ = 10621471341. Its totient is φ = 9227139264.

The previous prime is 9900050999. The next prime is 9900051017. The reversal of 9900051001 is 1001500099.

The square root of 9900051001 is 99499.

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

It can be written as a sum of positive squares in 4 ways, for example, as 83997225 + 9816053776 = 9165^2 + 99076^2 .

It is not a de Polignac number, because 9900051001 - 2¹ = 9900050999 is a prime.

It is a super-2 number, since 2×9900051001² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9900051901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135617101 + ... + 135617173.

Almost surely, 2^9900051001 is an apocalyptic number.

9900051001 is the 99499-th square number.

9900051001 is the 49750-th centered octagonal number.

It is an amenable number.

9900051001 is a deficient number, since it is larger than the sum of its proper divisors (721420340).

9900051001 is an frugal number, since it uses more digits than its factorization.

9900051001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 25.

The cubic root of 9900051001 is about 2147.2328562461.

Multiplying 9900051001 by its sum of digits (25), we get a square (247501275025 = 497495²).

The spelling of 9900051001 in words is "nine billion, nine hundred million, fifty-one thousand, one".