1315735848 has 72 divisors (see below), whose sum is σ = 4145250330. Its totient is φ = 375923520.

The previous prime is 1315735847. The next prime is 1315735849. The reversal of 1315735848 is 8485375131.

It is a happy number.

1315735848 is a `hidden beast` number, since 1 + 31 + 573 + 5 + 8 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1315735847) and next prime (1315735849).

It can be written as a sum of positive squares in only one way, i.e., 720278244 + 595457604 = 26838^2 + 24402^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1315735843) 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 17 ways as a sum of consecutive naturals, for example, 182943 + ... + 189998.

Almost surely, 2^1315735848 is an apocalyptic number.

1315735848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1315735848 is an abundant number, since it is smaller than the sum of its proper divisors (2829514482).

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

1315735848 is a wasteful number, since it uses less digits than its factorization.

1315735848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372967 (or 372953 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 1315735848 is about 36273.0733189235. The cubic root of 1315735848 is about 1095.7788216725.

The spelling of 1315735848 in words is "one billion, three hundred fifteen million, seven hundred thirty-five thousand, eight hundred forty-eight".