2529534383401 has 9 divisors (see below), whose sum is σ = 2564777933271. Its totient is φ = 2494768714992.

The previous prime is 2529534383339. The next prime is 2529534383407. The reversal of 2529534383401 is 1043834359252.

It is a happy number.

The square root of 2529534383401 is 1590451.

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., 1435886941225 + 1093647442176 = 1198285^2 + 1045776^2 .

It is not a de Polignac number, because 2529534383401 - 2²¹ = 2529532286249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2529534383407) 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, 116092030 + ... + 116113816.

It is an arithmetic number, because the mean of its divisors is an integer number (284975325919).

Almost surely, 2^{2529534383401} is an apocalyptic number.

2529534383401 is the 1590451-st square number.

2529534383401 is the 795226-th centered octagonal number.

It is an amenable number.

2529534383401 is a deficient number, since it is larger than the sum of its proper divisors (35243549870).

2529534383401 is an frugal number, since it uses more digits than its factorization.

2529534383401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43720 (or 21860 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

Multiplying 2529534383401 by its sum of digits (49), we get a square (123947184786649 = 11133157²).

The spelling of 2529534383401 in words is "two trillion, five hundred twenty-nine billion, five hundred thirty-four million, three hundred eighty-three thousand, four hundred one".