2715412918201 has 9 divisors (see below), whose sum is σ = 2865884351151. Its totient is φ = 2572466787504.

The previous prime is 2715412918181. The next prime is 2715412918249. The reversal of 2715412918201 is 1028192145172.

The square root of 2715412918201 is 1647851.

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., 1607446158201 + 1107966760000 = 1267851^2 + 1052600^2 .

It is not a de Polignac number, because 2715412918201 - 2¹⁵ = 2715412885433 is a prime.

It is a super-4 number, since 4×2715412918201⁴ (a number of 51 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2715412916201) 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, 31265805 + ... + 31352533.

Almost surely, 2^{2715412918201} is an apocalyptic number.

2715412918201 is the 1647851-st square number.

2715412918201 is the 823926-th centered octagonal number.

It is an amenable number.

2715412918201 is a deficient number, since it is larger than the sum of its proper divisors (150471432950).

2715412918201 is an frugal number, since it uses more digits than its factorization.

2715412918201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173496 (or 86748 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 2715412918201 in words is "two trillion, seven hundred fifteen billion, four hundred twelve million, nine hundred eighteen thousand, two hundred one".