1009213245280 has 48 divisors (see below), whose sum is σ = 2434995380160. Its totient is φ = 395096246272.

The previous prime is 1009213245263. The next prime is 1009213245361. The reversal of 1009213245280 is 825423129001.

1009213245280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1009213245280² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67094425 + ... + 67109464.

It is an arithmetic number, because the mean of its divisors is an integer number (50729070420).

Almost surely, 2^{1009213245280} is an apocalyptic number.

1009213245280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009213245280 is an abundant number, since it is smaller than the sum of its proper divisors (1425782134880).

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

1009213245280 is a wasteful number, since it uses less digits than its factorization.

1009213245280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134203951 (or 134203943 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 1009213245280 in words is "one trillion, nine billion, two hundred thirteen million, two hundred forty-five thousand, two hundred eighty".