8507424729001 has 27 divisors (see below), whose sum is σ = 9532807215127. Its totient is φ = 7586580818960.

The previous prime is 8507424728993. The next prime is 8507424729017. The reversal of 8507424729001 is 1009274247058.

The square root of 8507424729001 is 2916749.

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

It can be written as a sum of positive squares in only one way, i.e., 6132977955225 + 2374446773776 = 2476485^2 + 1540924^2 .

It is not a de Polignac number, because 8507424729001 - 2³ = 8507424728993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8507424726001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1700462166 + ... + 1700467168.

Almost surely, 2^{8507424729001} is an apocalyptic number.

8507424729001 is the 2916749-th square number.

8507424729001 is the 1458375-th centered octagonal number.

It is an amenable number.

8507424729001 is a deficient number, since it is larger than the sum of its proper divisors (1025382486126).

8507424729001 is an frugal number, since it uses more digits than its factorization.

8507424729001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

Multiplying 8507424729001 by its sum of digits (49), we get a square (416863811721049 = 20417243²).

The spelling of 8507424729001 in words is "eight trillion, five hundred seven billion, four hundred twenty-four million, seven hundred twenty-nine thousand, one".