15348522162961 has 9 divisors (see below), whose sum is σ = 16620052521339. Its totient is φ = 14167819599336.

The previous prime is 15348522162881. The next prime is 15348522162971. The reversal of 15348522162961 is 16926122584351.

The square root of 15348522162961 is 3917719.

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., 2270491444225 + 13078030718736 = 1506815^2 + 3616356^2 .

It is not a de Polignac number, because 15348522162961 - 2³¹ = 15346374679313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15348522162971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50779666 + ... + 51081028.

It is an arithmetic number, because the mean of its divisors is an integer number (1846672502371).

Almost surely, 2^{15348522162961} is an apocalyptic number.

15348522162961 is the 3917719-th square number.

15348522162961 is the 1958860-th centered octagonal number.

It is an amenable number.

15348522162961 is a deficient number, since it is larger than the sum of its proper divisors (1271530358378).

15348522162961 is an frugal number, since it uses more digits than its factorization.

15348522162961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602752 (or 301376 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 55.

The spelling of 15348522162961 in words is "fifteen trillion, three hundred forty-eight billion, five hundred twenty-two million, one hundred sixty-two thousand, nine hundred sixty-one".