90300851001 has 45 divisors (see below), whose sum is σ = 136384742109. Its totient is φ = 59542470144.

The previous prime is 90300850921. The next prime is 90300851071. The reversal of 90300851001 is 10015800309.

The square root of 90300851001 is 300501.

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 3900127401 + 86400723600 = 62451^2 + 293940^2 .

It is not a de Polignac number, because 90300851001 - 2²¹ = 90298753849 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (90300851071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 467879961 + ... + 467880153.

Almost surely, 2^90300851001 is an apocalyptic number.

90300851001 is the 300501-st square number.

90300851001 is the 150251-st centered octagonal number.

It is an amenable number.

90300851001 is a deficient number, since it is larger than the sum of its proper divisors (46083891108).

90300851001 is an frugal number, since it uses more digits than its factorization.

90300851001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 90300851001 in words is "ninety billion, three hundred million, eight hundred fifty-one thousand, one".