1010505991 has 8 divisors (see below), whose sum is σ = 1107316224. Its totient is φ = 914520120.

The previous prime is 1010505983. The next prime is 1010506019. The reversal of 1010505991 is 1995050101.

1010505991 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 1010505991 - 2³ = 1010505983 is a prime.

It is a super-2 number, since 2×1010505991² = 2042244715693784162, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010505901) 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, 203521 + ... + 208426.

It is an arithmetic number, because the mean of its divisors is an integer number (138414528).

Almost surely, 2^1010505991 is an apocalyptic number.

1010505991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010505991 is a deficient number, since it is larger than the sum of its proper divisors (96810233).

1010505991 is a wasteful number, since it uses less digits than its factorization.

1010505991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412181.

The product of its (nonzero) digits is 2025, while the sum is 31.

The square root of 1010505991 is about 31788.4568829630. The cubic root of 1010505991 is about 1003.4898041002.

The spelling of 1010505991 in words is "one billion, ten million, five hundred five thousand, nine hundred ninety-one".