1315138825632 has 192 divisors, whose sum is σ = 3697600596480. Its totient is φ = 408062831616.

The previous prime is 1315138825603. The next prime is 1315138825669. The reversal of 1315138825632 is 2365288315131.

It is a super-2 number, since 2×1315138825632² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 48503023 + ... + 48530129.

It is an arithmetic number, because the mean of its divisors is an integer number (19258336440).

Almost surely, 2^{1315138825632} is an apocalyptic number.

1315138825632 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 1315138825632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848800298240).

1315138825632 is an abundant number, since it is smaller than the sum of its proper divisors (2382461770848).

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

1315138825632 is a wasteful number, since it uses less digits than its factorization.

1315138825632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27603 (or 27595 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 1315138825632 in words is "one trillion, three hundred fifteen billion, one hundred thirty-eight million, eight hundred twenty-five thousand, six hundred thirty-two".