1026102525318 has 128 divisors (see below), whose sum is σ = 2560151784960. Its totient is φ = 302562449280.

The previous prime is 1026102525317. The next prime is 1026102525337. The reversal of 1026102525318 is 8135252016201.

1026102525318 is a `hidden beast` number, since 1 + 0 + 2 + 610 + 2 + 5 + 2 + 5 + 31 + 8 = 666.

It is a super-2 number, since 2×1026102525318² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026102525317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1279173 + ... + 1920543.

It is an arithmetic number, because the mean of its divisors is an integer number (20001185820).

Almost surely, 2^{1026102525318} is an apocalyptic number.

1026102525318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026102525318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280075892480).

1026102525318 is an abundant number, since it is smaller than the sum of its proper divisors (1534049259642).

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

1026102525318 is a wasteful number, since it uses less digits than its factorization.

1026102525318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641491 (or 641485 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1026102525318 in words is "one trillion, twenty-six billion, one hundred two million, five hundred twenty-five thousand, three hundred eighteen".