70970532208801 has 27 divisors (see below), whose sum is σ = 75706311495339. Its totient is φ = 66517452811008.

The previous prime is 70970532208789. The next prime is 70970532208861. The reversal of 70970532208801 is 10880223507907.

The square root of 70970532208801 is 8424401.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6150643042401 + 64819889166400 = 2480049^2 + 8051080^2 .

It is not a de Polignac number, because 70970532208801 - 2¹⁷ = 70970532077729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70970532208861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39670503415 + ... + 39670505203.

Almost surely, 2^{70970532208801} is an apocalyptic number.

70970532208801 is the 8424401-st square number.

70970532208801 is the 4212201-st centered octagonal number.

It is an amenable number.

70970532208801 is a deficient number, since it is larger than the sum of its proper divisors (4735779286538).

70970532208801 is an frugal number, since it uses more digits than its factorization.

70970532208801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 70970532208801 in words is "seventy trillion, nine hundred seventy billion, five hundred thirty-two million, two hundred eight thousand, eight hundred one".