1615108015161 has 27 divisors (see below), whose sum is σ = 2478337090671. Its totient is φ = 1013360439744.

The previous prime is 1615108015151. The next prime is 1615108015187.

It is a happy number.

The square root of 1615108015161 is 1270869.

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

1615108015161 is a `hidden beast` number, since 1 + 6 + 1 + 510 + 80 + 1 + 5 + 1 + 61 = 666.

1615108015161 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1257437036025 + 357670979136 = 1121355^2 + 598056^2 .

It is not a de Polignac number, because 1615108015161 - 2¹³ = 1615108006969 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1615108015111) 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, 64801860 + ... + 64826778.

Almost surely, 2^{1615108015161} is an apocalyptic number.

1615108015161 is the 1270869-th square number.

1615108015161 is the 635435-th centered octagonal number.

It is an amenable number.

1615108015161 is a deficient number, since it is larger than the sum of its proper divisors (863229075510).

1615108015161 is an frugal number, since it uses more digits than its factorization.

1615108015161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49878 (or 24939 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 36.

Multiplying 1615108015161 by its sum of digits (36), we get a square (58143888545796 = 7625214²).

The spelling of 1615108015161 in words is "one trillion, six hundred fifteen billion, one hundred eight million, fifteen thousand, one hundred sixty-one".