15242124681 has 27 divisors (see below), whose sum is σ = 25615274061. Its totient is φ = 8708304024.

The previous prime is 15242124661. The next prime is 15242124701. The reversal of 15242124681 is 18642124251.

The square root of 15242124681 is 123459.

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

15242124681 is a `hidden beast` number, since 1 + 524 + 2 + 12 + 46 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (15242124661) and next prime (15242124701).

It is not a de Polignac number, because 15242124681 - 2¹³ = 15242116489 is a prime.

It is a super-2 number, since 2×15242124681² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15242124661) 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, 2589700 + ... + 2595578.

Almost surely, 2^15242124681 is an apocalyptic number.

15242124681 is the 123459-th square number.

15242124681 is the 61730-th centered octagonal number.

It is an amenable number.

15242124681 is a deficient number, since it is larger than the sum of its proper divisors (10373149380).

15242124681 is an frugal number, since it uses more digits than its factorization.

15242124681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778 (or 5889 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

Multiplying 15242124681 by its sum of digits (36), we get a square (548716488516 = 740754²).

The spelling of 15242124681 in words is "fifteen billion, two hundred forty-two million, one hundred twenty-four thousand, six hundred eighty-one".