801247261001000 has 128 divisors (see below), whose sum is σ = 2048325763086720. Its totient is φ = 290940984000000.

The previous prime is 801247261000951. The next prime is 801247261001009. The reversal of 801247261001000 is 100162742108.

It is a happy number.

801247261001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (801247261001009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45105701 + ... + 60307700.

It is an arithmetic number, because the mean of its divisors is an integer number (16002545024115).

Almost surely, 2^{801247261001000} is an apocalyptic number.

It is an amenable number.

801247261001000 is an abundant number, since it is smaller than the sum of its proper divisors (1247078502085720).

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

801247261001000 is a wasteful number, since it uses less digits than its factorization.

801247261001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105414124 (or 105414110 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 801247261001000 in words is "eight hundred one trillion, two hundred forty-seven billion, two hundred sixty-one million, one thousand".