1249580085 has 48 divisors (see below), whose sum is σ = 2234930688. Its totient is φ = 595296000.

The previous prime is 1249580029. The next prime is 1249580089. The reversal of 1249580085 is 5800859421.

It is a happy number.

It is not a de Polignac number, because 1249580085 - 2¹⁴ = 1249563701 is a prime.

It is a super-2 number, since 2×1249580085² = 3122900777657214450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249580089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70635 + ... + 86535.

It is an arithmetic number, because the mean of its divisors is an integer number (46561056).

Almost surely, 2^1249580085 is an apocalyptic number.

1249580085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1249580085 is a deficient number, since it is larger than the sum of its proper divisors (985350603).

1249580085 is a wasteful number, since it uses less digits than its factorization.

1249580085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15966 (or 15953 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 1249580085 is about 35349.4000656305. The cubic root of 1249580085 is about 1077.0967075806.

The spelling of 1249580085 in words is "one billion, two hundred forty-nine million, five hundred eighty thousand, eighty-five".