907829745601 has 9 divisors (see below), whose sum is σ = 909709693641. Its totient is φ = 905953680432.

The previous prime is 907829745583. The next prime is 907829745637. The reversal of 907829745601 is 106547928709.

The square root of 907829745601 is 952801.

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

It can be written as a sum of positive squares in 4 ways, for example, as 732737712001 + 175092033600 = 856001^2 + 418440^2 .

It is not a de Polignac number, because 907829745601 - 2¹⁵ = 907829712833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (907829745001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 812738695 + ... + 812739811.

It is an arithmetic number, because the mean of its divisors is an integer number (101078854849).

Almost surely, 2^907829745601 is an apocalyptic number.

907829745601 is the 952801-st square number.

907829745601 is the 476401-st centered octagonal number.

It is an amenable number.

907829745601 is a deficient number, since it is larger than the sum of its proper divisors (1879948040).

907829745601 is an frugal number, since it uses more digits than its factorization.

907829745601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 907829745601 in words is "nine hundred seven billion, eight hundred twenty-nine million, seven hundred forty-five thousand, six hundred one".