1051083990 has 288 divisors, whose sum is σ = 3350763936. Its totient is φ = 225884160.

The previous prime is 1051083989. The next prime is 1051083991. The reversal of 1051083990 is 993801501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1051083989) and next prime (1051083991).

It is a super-2 number, since 2×1051083990² = 2209555108068640200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051083991) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6075544 + ... + 6075716.

It is an arithmetic number, because the mean of its divisors is an integer number (11634597).

Almost surely, 2^1051083990 is an apocalyptic number.

1051083990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051083990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675381968).

1051083990 is an abundant number, since it is smaller than the sum of its proper divisors (2299679946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1051083990 is a wasteful number, since it uses less digits than its factorization.

1051083990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1051083990 is about 32420.4255061528. The cubic root of 1051083990 is about 1016.7460027073.

The spelling of 1051083990 in words is "one billion, fifty-one million, eighty-three thousand, nine hundred ninety".