15919121241 has 21 divisors (see below), whose sum is σ = 23872872079. Its totient is φ = 10610476416.

The previous prime is 15919121213. The next prime is 15919121243. The reversal of 15919121241 is 14212191951.

The square root of 15919121241 is 126171.

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

15919121241 is a `hidden beast` number, since 1 + 591 + 9 + 1 + 21 + 2 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15258425625 + 660695616 = 123525^2 + 25704^2 .

It is not a de Polignac number, because 15919121241 - 2²⁷ = 15784903513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15919121196 and 15919121205.

It is not an unprimeable number, because it can be changed into a prime (15919121243) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3404281 + ... + 3408953.

Almost surely, 2^15919121241 is an apocalyptic number.

15919121241 is the 126171-st square number.

15919121241 is the 63086-th centered octagonal number.

It is an amenable number.

15919121241 is a deficient number, since it is larger than the sum of its proper divisors (7953750838).

15919121241 is an frugal number, since it uses more digits than its factorization.

15919121241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9364 (or 4676 counting only the distinct ones).

The product of its digits is 6480, while the sum is 36.

Multiplying 15919121241 by its sum of digits (36), we get a square (573088364676 = 757026²).

The spelling of 15919121241 in words is "fifteen billion, nine hundred nineteen million, one hundred twenty-one thousand, two hundred forty-one".