82815478290601 has 27 divisors (see below), whose sum is σ = 97236453711159. Its totient is φ = 70327562942448.

The previous prime is 82815478290583. The next prime is 82815478290619. The reversal of 82815478290601 is 10609287451828.

It is a happy number.

The square root of 82815478290601 is 9100301.

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

It is an interprime number because it is at equal distance from previous prime (82815478290583) and next prime (82815478290619).

It can be written as a sum of positive squares in only one way, i.e., 57721991055001 + 25093487235600 = 7597499^2 + 5009340^2 .

It is not a de Polignac number, because 82815478290601 - 2⁵ = 82815478290569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82815478290601.

It is not an unprimeable number, because it can be changed into a prime (82815478290631) 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, 6943523700 + ... + 6943535626.

Almost surely, 2^{82815478290601} is an apocalyptic number.

82815478290601 is the 9100301-st square number.

82815478290601 is the 4550151-st centered octagonal number.

It is an amenable number.

82815478290601 is a deficient number, since it is larger than the sum of its proper divisors (14420975420558).

82815478290601 is an frugal number, since it uses more digits than its factorization.

82815478290601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24086 (or 12043 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 61.

The spelling of 82815478290601 in words is "eighty-two trillion, eight hundred fifteen billion, four hundred seventy-eight million, two hundred ninety thousand, six hundred one".