90750960001 has 9 divisors (see below), whose sum is σ = 98273031849. Its totient is φ = 83766501936.

The previous prime is 90750959989. The next prime is 90750960011. The reversal of 90750960001 is 10006905709.

The square root of 90750960001 is 301249.

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 70118510401 + 20632449600 = 264799^2 + 143640^2 .

It is not a de Polignac number, because 90750960001 - 2⁵ = 90750959969 is a prime.

It is a super-2 number, since 2×90750960001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90750960011) 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, 3904651 + ... + 3927823.

It is an arithmetic number, because the mean of its divisors is an integer number (10919225761).

Almost surely, 2^90750960001 is an apocalyptic number.

90750960001 is the 301249-th square number.

90750960001 is the 150625-th centered octagonal number.

It is an amenable number.

90750960001 is a deficient number, since it is larger than the sum of its proper divisors (7522071848).

90750960001 is an frugal number, since it uses more digits than its factorization.

90750960001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46372 (or 23186 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The spelling of 90750960001 in words is "ninety billion, seven hundred fifty million, nine hundred sixty thousand, one".