1312580052 has 288 divisors, whose sum is σ = 4174643200. Its totient is φ = 360067680.

The previous prime is 1312580051. The next prime is 1312580111. The reversal of 1312580052 is 2500852131.

It is a happy number.

1312580052 is a `hidden beast` number, since 1 + 31 + 2 + 580 + 0 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1312579998 and 1312580025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312580051) 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, 10335213 + ... + 10335339.

Almost surely, 2^1312580052 is an apocalyptic number.

1312580052 is a gapful number since it is divisible by the number (12) 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 1312580052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087321600).

1312580052 is an abundant number, since it is smaller than the sum of its proper divisors (2862063148).

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

1312580052 is a wasteful number, since it uses less digits than its factorization.

1312580052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1312580052 is about 36229.5466711909. The cubic root of 1312580052 is about 1094.9020441554.

The spelling of 1312580052 in words is "one billion, three hundred twelve million, five hundred eighty thousand, fifty-two".