13275262000 has 640 divisors, whose sum is σ = 45497088000. Its totient is φ = 3608064000.

The previous prime is 13275261997. The next prime is 13275262003. The reversal of 13275262000 is 26257231.

It is an interprime number because it is at equal distance from previous prime (13275261997) and next prime (13275262003).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13275262000.

It is not an unprimeable number, because it can be changed into a prime (13275262003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38037826 + ... + 38038174.

It is an arithmetic number, because the mean of its divisors is an integer number (71089200).

Almost surely, 2^13275262000 is an apocalyptic number.

13275262000 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 13275262000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544000).

13275262000 is an abundant number, since it is smaller than the sum of its proper divisors (32221826000).

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

13275262000 is a wasteful number, since it uses less digits than its factorization.

13275262000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 13275262000 in words is "thirteen billion, two hundred seventy-five million, two hundred sixty-two thousand".