990677827585 has 8 divisors (see below), whose sum is σ = 1205098508520. Its totient is φ = 781685518464.

The previous prime is 990677827547. The next prime is 990677827589. The reversal of 990677827585 is 585728776099.

It is a Cunningham number, because it is equal to 995328²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 990677827584 = 1^2 + 995328^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 990677827585 - 2²¹ = 990675730433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is not an unprimeable number, because it can be changed into a prime (990677827589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1357092550 + ... + 1357093279.

It is an arithmetic number, because the mean of its divisors is an integer number (150637313565).

It is a Proth number, since it is equal to 59049 ⋅ 2²⁴ + 1 and 59049 < 2²⁴.

Almost surely, 2^990677827585 is an apocalyptic number.

It is an amenable number.

990677827585 is a deficient number, since it is larger than the sum of its proper divisors (214420680935).

990677827585 is a wasteful number, since it uses less digits than its factorization.

990677827585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714185907.

The product of its (nonzero) digits is 533433600, while the sum is 73.

The spelling of 990677827585 in words is "nine hundred ninety billion, six hundred seventy-seven million, eight hundred twenty-seven thousand, five hundred eighty-five".