1535415896161 has 27 divisors (see below), whose sum is σ = 1796253386841. Its totient is φ = 1308628619424.

The previous prime is 1535415896149. The next prime is 1535415896167. The reversal of 1535415896161 is 1616985145351.

The square root of 1535415896161 is 1239119.

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 156125025 + 1535259771136 = 12495^2 + 1239056^2 .

It is not a de Polignac number, because 1535415896161 - 2¹⁵ = 1535415863393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1535415896167) 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, 1986307371 + ... + 1986308143.

Almost surely, 2^{1535415896161} is an apocalyptic number.

1535415896161 is the 1239119-th square number.

1535415896161 is the 619560-th centered octagonal number.

It is an amenable number.

1535415896161 is a deficient number, since it is larger than the sum of its proper divisors (260837490680).

1535415896161 is an frugal number, since it uses more digits than its factorization.

1535415896161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1009 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 55.

The spelling of 1535415896161 in words is "one trillion, five hundred thirty-five billion, four hundred fifteen million, eight hundred ninety-six thousand, one hundred sixty-one".