1315297152 has 192 divisors, whose sum is σ = 4136801760. Its totient is φ = 398684160.

The previous prime is 1315297141. The next prime is 1315297163. The reversal of 1315297152 is 2517925131.

1315297152 is a `hidden beast` number, since 1 + 315 + 297 + 1 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (1315297141) and next prime (1315297163).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1315297152² = 3460013196118622208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062678 + ... + 1063914.

Almost surely, 2^1315297152 is an apocalyptic number.

1315297152 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 1315297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068400880).

1315297152 is an abundant number, since it is smaller than the sum of its proper divisors (2821504608).

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

1315297152 is a wasteful number, since it uses less digits than its factorization.

1315297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1326 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 1315297152 is about 36267.0256844975. The cubic root of 1315297152 is about 1095.6570223454.

The spelling of 1315297152 in words is "one billion, three hundred fifteen million, two hundred ninety-seven thousand, one hundred fifty-two".