60829096088601 has 63 divisors (see below), whose sum is σ = 91857927093807. Its totient is φ = 40263111482400.

The previous prime is 60829096088587. The next prime is 60829096088617. The reversal of 60829096088601 is 10688069092806.

The square root of 60829096088601 is 7799301.

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., 52961205728025 + 7867890360576 = 7277445^2 + 2804976^2 .

It is not a de Polignac number, because 60829096088601 - 2²³ = 60829087699993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (60829096018601) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 31797749221 + ... + 31797751133.

Almost surely, 2^{60829096088601} is an apocalyptic number.

60829096088601 is the 7799301-st square number.

60829096088601 is the 3899651-st centered octagonal number.

It is an amenable number.

60829096088601 is a deficient number, since it is larger than the sum of its proper divisors (31028831005206).

60829096088601 is an frugal number, since it uses more digits than its factorization.

60829096088601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 60829096088601 in words is "sixty trillion, eight hundred twenty-nine billion, ninety-six million, eighty-eight thousand, six hundred one".