1213505580 has 288 divisors, whose sum is σ = 4196586240. Its totient is φ = 260789760.

The previous prime is 1213505563. The next prime is 1213505581. The reversal of 1213505580 is 855053121.

It is a super-3 number, since 3×1213505580³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1213505581) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3666015 + ... + 3666345.

It is an arithmetic number, because the mean of its divisors is an integer number (14571480).

Almost surely, 2^1213505580 is an apocalyptic number.

1213505580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213505580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098293120).

1213505580 is an abundant number, since it is smaller than the sum of its proper divisors (2983080660).

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

1213505580 is a wasteful number, since it uses less digits than its factorization.

1213505580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 1213505580 is about 34835.4069877187. The cubic root of 1213505580 is about 1066.6303227634.

The spelling of 1213505580 in words is "one billion, two hundred thirteen million, five hundred five thousand, five hundred eighty".