15135219940801 has 27 divisors (see below), whose sum is σ = 15517289036739. Its totient is φ = 14762484511392.

The previous prime is 15135219940783. The next prime is 15135219940807. The reversal of 15135219940801 is 10804991253151.

The square root of 15135219940801 is 3890401.

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., 3073657644225 + 12061562296576 = 1753185^2 + 3472976^2 .

It is not a de Polignac number, because 15135219940801 - 2⁹ = 15135219940289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15135219940807) 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, 53481342406 + ... + 53481342688.

Almost surely, 2^{15135219940801} is an apocalyptic number.

15135219940801 is the 3890401-st square number.

15135219940801 is the 1945201-st centered octagonal number.

It is an amenable number.

15135219940801 is a deficient number, since it is larger than the sum of its proper divisors (382069095938).

15135219940801 is an frugal number, since it uses more digits than its factorization.

15135219940801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 49.

Multiplying 15135219940801 by its sum of digits (49), we get a square (741625777099249 = 27232807²).

The spelling of 15135219940801 in words is "fifteen trillion, one hundred thirty-five billion, two hundred nineteen million, nine hundred forty thousand, eight hundred one".