1311461250 has 80 divisors (see below), whose sum is σ = 3575680416. Its totient is φ = 317920000.

The previous prime is 1311461233. The next prime is 1311461251. The reversal of 1311461250 is 521641131.

It is a happy number.

It is a super-2 number, since 2×1311461250² = 3439861220503125000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1311461250.

It is not an unprimeable number, because it can be changed into a prime (1311461251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25354 + ... + 57146.

Almost surely, 2^1311461250 is an apocalyptic number.

1311461250 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 1311461250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787840208).

1311461250 is an abundant number, since it is smaller than the sum of its proper divisors (2264219166).

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

1311461250 is a wasteful number, since it uses less digits than its factorization.

1311461250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31829 (or 31814 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1311461250 is about 36214.1029158531. The cubic root of 1311461250 is about 1094.5908690251.

The spelling of 1311461250 in words is "one billion, three hundred eleven million, four hundred sixty-one thousand, two hundred fifty".