1290758085 has 40 divisors (see below), whose sum is σ = 2322993816. Its totient is φ = 685670400.

The previous prime is 1290758059. The next prime is 1290758101. The reversal of 1290758085 is 5808570921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 398481444 + 892276641 = 19962^2 + 29871^2 .

It is not a de Polignac number, because 1290758085 - 2⁸ = 1290757829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1290758085.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97885 + ... + 110285.

Almost surely, 2^1290758085 is an apocalyptic number.

1290758085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1290758085 is a deficient number, since it is larger than the sum of its proper divisors (1032235731).

1290758085 is a wasteful number, since it uses less digits than its factorization.

1290758085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12675 (or 12666 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 1290758085 is about 35927.1218580058. The cubic root of 1290758085 is about 1088.8004324325.

It can be divided in two parts, 1290 and 758085, that added together give a 5-th power (759375 = 15⁵).

The spelling of 1290758085 in words is "one billion, two hundred ninety million, seven hundred fifty-eight thousand, eighty-five".