1315032000 has 224 divisors, whose sum is σ = 4382414400. Its totient is φ = 347443200.

The previous prime is 1315031987. The next prime is 1315032011. The reversal of 1315032000 is 2305131.

It is a happy number.

It is a super-2 number, since 2×1315032000² = 3458618322048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3767826 + ... + 3768174.

It is an arithmetic number, because the mean of its divisors is an integer number (19564350).

Almost surely, 2^1315032000 is an apocalyptic number.

1315032000 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 1315032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191207200).

1315032000 is an abundant number, since it is smaller than the sum of its proper divisors (3067382400).

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

1315032000 is a wasteful number, since it uses less digits than its factorization.

1315032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1315032000 is about 36263.3699481998. The cubic root of 1315032000 is about 1095.5833925514.

Adding to 1315032000 its reverse (2305131), we get a palindrome (1317337131).

It can be divided in two parts, 13150 and 32000, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 1315032000 in words is "one billion, three hundred fifteen million, thirty-two thousand".