1315219620 has 384 divisors, whose sum is σ = 4682022912. Its totient is φ = 270950400.

The previous prime is 1315219589. The next prime is 1315219627. The reversal of 1315219620 is 269125131.

1315219620 = 381² + 382² + ... + 1587².

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 (1315219627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10355997 + ... + 10356123.

It is an arithmetic number, because the mean of its divisors is an integer number (12192768).

Almost surely, 2^1315219620 is an apocalyptic number.

1315219620 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 1315219620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341011456).

1315219620 is an abundant number, since it is smaller than the sum of its proper divisors (3366803292).

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

1315219620 is a wasteful number, since it uses less digits than its factorization.

1315219620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1315219620 is about 36265.9567638853. The cubic root of 1315219620 is about 1095.6354935855.

It can be divided in two parts, 131521 and 9620, that added together give a palindrome (141141).

The spelling of 1315219620 in words is "one billion, three hundred fifteen million, two hundred nineteen thousand, six hundred twenty".