2415134531601 has 48 divisors (see below), whose sum is σ = 4029827338368. Its totient is φ = 1377514944000.

The previous prime is 2415134531561. The next prime is 2415134531651. The reversal of 2415134531601 is 1061354315142.

2415134531601 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 1 + 3 + 45 + 3 + 1 + 601 = 666.

It is not a de Polignac number, because 2415134531601 - 2²⁵ = 2415100977169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2415134531651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26716260 + ... + 26806506.

It is an arithmetic number, because the mean of its divisors is an integer number (83954736216).

Almost surely, 2^{2415134531601} is an apocalyptic number.

It is an amenable number.

2415134531601 is a deficient number, since it is larger than the sum of its proper divisors (1614692806767).

2415134531601 is a wasteful number, since it uses less digits than its factorization.

2415134531601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106182 (or 106179 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 2415134531601 its reverse (1061354315142), we get a palindrome (3476488846743).

The spelling of 2415134531601 in words is "two trillion, four hundred fifteen billion, one hundred thirty-four million, five hundred thirty-one thousand, six hundred one".