2517137729401 has 27 divisors (see below), whose sum is σ = 2647448086959. Its totient is φ = 2393150511600.

The previous prime is 2517137729363. The next prime is 2517137729461. The reversal of 2517137729401 is 1049277317152.

The square root of 2517137729401 is 1586549.

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., 81852637801 + 2435285091600 = 286099^2 + 1560540^2 .

It is not a de Polignac number, because 2517137729401 - 2¹¹ = 2517137727353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2517137729461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3000163740 + ... + 3000164578.

Almost surely, 2^{2517137729401} is an apocalyptic number.

2517137729401 is the 1586549-th square number.

2517137729401 is the 793275-th centered octagonal number.

It is an amenable number.

2517137729401 is a deficient number, since it is larger than the sum of its proper divisors (130310357558).

2517137729401 is an frugal number, since it uses more digits than its factorization.

2517137729401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

Multiplying 2517137729401 by its sum of digits (49), we get a square (123339748740649 = 11105843²).

The spelling of 2517137729401 in words is "two trillion, five hundred seventeen billion, one hundred thirty-seven million, seven hundred twenty-nine thousand, four hundred one".